PN.11B, SEC 3, indcs w/ 2 symb (x) (50)
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Question 1 of 50
1. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
3d²e × -2d³e⁻² =
-
de
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 2 of 50
2. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
2ρ³β × -3ρ⁻²β² =
-
ρβ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 3 of 50
3. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-6ε²Ν × -3ε⁻³Ν² =
-
εΝ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 4 of 50
4. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-5a²b² × 4a⁻²b =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 5 of 50
5. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
4a²b × -2a⁻²b =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 6 of 50
6. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
4a²b × 2a⁻²b =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 7 of 50
7. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
2x³y × -3x²y² =
-
xy
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 8 of 50
8. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
5σ³Ψ × -2σ⁻⁴Ψ² =
-
σΨ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 9 of 50
9. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
3Τ³θ × -4Τ⁻²θ² =
-
Τθ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 10 of 50
10. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
4a⁻²b × -2a³b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 11 of 50
11. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-2a⁻²b × 6a²b² =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 12 of 50
12. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-2a⁻¹b × 5a²b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 13 of 50
13. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-3k²v × 6k⁻²v⁻¹ =
-
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 14 of 50
14. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
3Φ³β × 2Φ⁻²β² =
-
Φβ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 15 of 50
15. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
6Π³Ζ × 3Π⁻³Ζ² =
-
Ζ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 16 of 50
16. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
5a²b × -2a⁻¹b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 17 of 50
17. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-5a⁻²b × -4a³b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 18 of 50
18. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-4a²b × 7a⁻²b =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 19 of 50
19. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
3t⁻¹r² × 4t²r =
-
tr
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 20 of 50
20. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
7x²y × -6x⁻²y =
-
y
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 21 of 50
21. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
5v³k × -3v⁻²k² =
-
vk
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 22 of 50
22. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-6a³b × 2a⁻²b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 23 of 50
23. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-8a³b × 4a⁻²b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 24 of 50
24. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-3a²b × 6a⁻⁴b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 25 of 50
25. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
7n²m × -5n⁻³m =
-
nm
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 26 of 50
26. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
6α²π × -5α⁻³π² =
-
απ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 27 of 50
27. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
2Σ³Υ × 4Σ⁻³Υ² =
-
Υ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 28 of 50
28. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-4a⁻²b × 3a²b² =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 29 of 50
29. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-9a⁻²b × 3a²b² =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-
-
Question 30 of 50
30. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-5a²b × 2a⁻²b² =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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-
Question 31 of 50
31. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
6x³y × -2x⁻⁴y² =
-
xy
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 32 of 50
32. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
4Ω²ω × 2Ω⁻³ω² =
-
Ωω
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 33 of 50
33. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
4η⁻²ε × 3η²ε² =
-
ε
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 34 of 50
34. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-3a²b × 4a³b⁻² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 35 of 50
35. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-7a³b × -5a⁻²b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 36 of 50
36. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-2a⁻²b × -3a³b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 37 of 50
37. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
5e⁻¹g × -6e²g² =
-
eg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 38 of 50
38. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
6λ²Ρ × -4λ⁻²Ρ =
-
Ρ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 39 of 50
39. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
6α²π × -2α⁻²π =
-
π
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 40 of 50
40. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-2a³b² × 3a⁻²b =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 41 of 50
41. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
9a³b × -2a⁻²b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 42 of 50
42. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-7a⁻³b × 2a²b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 43 of 50
43. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
2a²b × 3a⁻²b² =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 44 of 50
44. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
4r²θ × -7r⁻³θ² =
-
rθ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 45 of 50
45. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-3Α²Β × 4Α⁻²Β =
-
Β
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 46 of 50
46. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
8α²β × -4α⁻²β² =
-
β
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 47 of 50
47. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-4a³b² × 5a⁻²b =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 48 of 50
48. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
-3a²b × 5a⁻²b² =
-
b
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 49 of 50
49. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
5a³b × 2a⁻⁴b² =
-
ab
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
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Question 50 of 50
50. Question
Topic: Multiplying With Indices.
Please have pen and paper handy to show workings out. 📝
3Ρ³Θ × 2Ρ⁻²Θ² =
-
ΡΘ
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Multiplying Terms with Multiple Variables and Mixed Exponents
When multiplying terms with multiple variables, multiply the coefficients (the numbers in front) and apply the exponent rules for each variable separately:
Example: 2a³b × 3a⁻¹b²
Step 1: Multiply the coefficients: 2 × 3 = 6
Step 2: Apply the exponent rule (add exponents when multiplying with the same base) for each variable:
For a: a³ × a⁻¹ = a3 + (-1) = a2
For b: b × b² = b1 + 2 = b3
Final Answer: 6a2b3
Note: Add the exponents for each variable separately and multiply the coefficients to get the final answer.
-