Power of a Product Worksheet
Practice worksheet for 7th graders on understanding and applying the power of a product rule in exponents.
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Power of a Product Rule
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Read each question carefully and apply the power of a product rule to simplify the expressions.
1. The power of a product rule states that (ab)ⁿ = aⁿbⁿ. This means you the exponent to each factor inside the parentheses.
2. When simplifying (2x)³, you would calculate 2³ which is 8, and x³ which is x³. So, (2x)³ = .
3. The expression (3y²)⁵ simplifies to 3⁵y¹⁰, which is .
4. Simplify: (4a)³
5. Simplify: (5x²)²
6. Simplify: (-2xy)⁴
7. Which of the following is equivalent to (3m⁴)³?
9m⁷
9m¹²
27m⁷
27m¹²
8. What is the simplified form of (p³q⁵)²?
p⁵q⁷
p⁶q¹⁰
p⁶q⁵
p³q¹⁰
9. The expression (5 + x)² is equal to 5² + x².
True
False
10. (ab)ⁿ = aⁿbⁿ is the correct representation of the power of a product rule.
True
False
11. Explain in your own words why (2x)³ is not equal to 2x³.