PN.11A, SEC 1, mltply indicies (51)
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Question 1 of 51
1. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
5¹⁴ × 5⁻⁵ =
Leave your answer as a power of 5
-
5
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 2 of 51
2. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7ᵇ × 7⁻³ = 7⁶
-
b =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 3 of 51
3. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
10¹⁸ × 10ᵛ = 10²⁸
-
v =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 4 of 51
4. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7¹² × 7⁶ =
Leave your answer as a power of 7
-
7
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 5 of 51
5. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
9ᵍ × 9⁻² = 9⁵
-
g =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 6 of 51
6. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7ʷ × 7⁻¹⁵ = 7¹³
-
w =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 7 of 51
7. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
2² × 2² =
Leave your answer as a power of 2
-
2
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 8 of 51
8. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
2⁻⁹ × 2²⁰ =
Leave your answer as a power of 2
-
2
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 9 of 51
9. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
2ᶜ × 2⁴ = 2⁷
-
c =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 10 of 51
10. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6ˣ × 6¹² = 6²³
-
x =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 11 of 51
11. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
3² × 3³ =
Leave your answer as a power of 3
-
3
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 12 of 51
12. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
4¹³ × 4⁻³ =
Leave your answer as a power of 4
-
4
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 13 of 51
13. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
10² × 10ʰ = 10⁷
-
h =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 14 of 51
14. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
5ʸ × 5⁻⁸ = 5¹³
-
y =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 15 of 51
15. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
5⁴ × 5⁻² =
Leave your answer as a power of 5
-
5
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 16 of 51
16. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6²⁵ × 6⁻⁸ =
Leave your answer as a power of 6
-
6
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 17 of 51
17. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
4⁵ × 4ᵈ = 4²
-
d =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 18 of 51
18. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
3ᶻ × 3¹³ = 3²⁷
-
z =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 19 of 51
19. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7⁶ × 7⁻³ =
Leave your answer as a power of 7
-
7
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 20 of 51
20. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
8¹² × 8¹³ =
Leave your answer as a power of 8
-
8
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 21 of 51
21. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7ⁱ × 7⁶ = 7²
-
i =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 22 of 51
22. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
2³ × 2⁴ =
Leave your answer as a power of 2
-
2
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 23 of 51
23. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
9²⁷ × 9⁻¹¹ =
Leave your answer as a power of 9
-
9
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 24 of 51
24. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6⁴ × 6ʲ = 6⁷
-
j =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 25 of 51
25. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
4⁵ × 4⁻³ =
Leave your answer as a power of 4
-
4
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 26 of 51
26. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
10¹⁸ × 10¹⁰ =
Leave your answer as a power of 10
-
10
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 27 of 51
27. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
2ᵏ × 2⁻⁴ = 2¹
-
k =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 28 of 51
28. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6⁻² × 6⁸ =
Leave your answer as a power of 6
-
6
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 29 of 51
29. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7⁻¹⁵ × 7²⁸ =
Leave your answer as a power of 7
-
7
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 30 of 51
30. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
3¹⁰ × 3ˡ = 3¹⁴
-
l =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
-
-
Question 31 of 51
31. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
8³ × 8⁴ =
Leave your answer as a power of 8
-
8
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 32 of 51
32. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6¹¹ × 6¹² =
Leave your answer as a power of 6
-
6
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 33 of 51
33. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
5ᵐ × 5⁻⁵ = 5⁹
-
m =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 34 of 51
34. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
9⁷ × 9⁻² =
Leave your answer as a power of 9
-
9
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 35 of 51
35. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
5²¹ × 5⁻⁸ =
Leave your answer as a power of 5
-
5
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 36 of 51
36. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7¹² × 7ⁿ = 7¹⁸
-
n =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 37 of 51
37. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
10² × 10⁵ =
Leave your answer as a power of 10
-
10
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 38 of 51
38. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
3¹⁴ × 3¹³ =
Leave your answer as a power of 3
-
3
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 39 of 51
39. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
2ᵖ × 2²⁰ = 2¹¹
-
p =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 40 of 51
40. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
7⁻⁴ × 7⁶ =
Leave your answer as a power of 7
-
7
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 41 of 51
41. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
3² × 3ˣ = 3⁵
-
x =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 42 of 51
42. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
4¹³ × 4ʳ = 4¹⁰
-
r =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 43 of 51
43. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6⁴ × 6³ =
Leave your answer as a power of 6
-
6
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 44 of 51
44. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6ᵉ × 6⁸ = 6⁶
-
e =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 45 of 51
45. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
6²⁵ × 6ˢ = 6¹⁷
-
s =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 46 of 51
46. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
2⁵ × 2⁻⁴ =
Leave your answer as a power of 2
-
2
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 47 of 51
47. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
5⁴ × 5ᵃ = 5²
-
a =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 48 of 51
48. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
8¹² × 8ᵗ = 8²⁵
-
t =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 49 of 51
49. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
3¹⁰ × 3⁴ =
Leave your answer as a power of 3
-
3
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 50 of 51
50. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
8³ × 8ᶠ = 8⁷
-
f =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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Question 51 of 51
51. Question
Topic: Multiplying Indices
Please have pen and paper handy to show workings out. 📝
9ᵘ × 9⁻¹¹ = 9¹⁶
-
u =
⌨️ Enter your answer in the field provided.
CorrectIncorrectHint
Rules for Multiplying and Dividing Indices
When multiplying numbers with the same base, add the exponents:
a2 × a3 = a5
When dividing numbers with the same base, subtract the exponents:
a4 ÷ a2 = a2
If the division is written as a fraction, the same rule applies: subtract the exponents of the base. For example:
( a4/a2 ) = a4-2 = a2
If the exponents are fractions, the same rules apply for multiplication and division, just remember to treat the numerator and denominator separately.
Also, when adding or subtracting indices, be careful with any negative signs in the exponents.
Note: a represents the base number in these examples.
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