Power of a Product Worksheet
Grade 9 Math worksheet focusing on understanding and applying the power of a product rule for exponents.
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Standards
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Power of a Product Worksheet
Name:
Date:
Score:
Read each question carefully and apply the power of a product rule to simplify the expressions. Show all your work.
1. Simplify (2x³)²
2. Simplify (-3ab⁴)³
3. Simplify (5m²n⁵)⁻²
4. The power of a product rule states that (ab)ⁿ = .
5. When simplifying (4x²y³)², the exponent 2 is applied to each inside the parentheses.
6. A common mistake when using the power of a product rule is forgetting to apply the exponent to the coefficient.
7. Which of the following is the correct simplification of (7p²q)³?
7p⁵q⁴
343p⁶q³
7p⁶q³
343p⁵q⁴
8. Simplify (x²y³)⁰. (Assume x and y are not zero.)
x²y³
0
1
x²
9. The expression (4ab)⁻² simplifies to 16a⁻²b⁻².
True
False
10. (2x³y)⁴ is equal to 8x¹²y⁴.
True
False
11. If the area of a square is given by the expression (3x²y)², what is the length of one side of the square?
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