Power of a Product Worksheet
Grade 11 Math worksheet covering the Power of a Product rule with various practice problems.
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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. Show all your work for full credit.
1. The Power of a Product rule states that (ab)ⁿ = aⁿbⁿ. This means when a product is raised to a power, each within the product is raised to that power.
2. To simplify (2x³)², you would apply the power to both the 2 and the x³, resulting in .
1. Which of the following is equivalent to (3xy²)³?
9x³y⁶
27x³y⁵
27x³y⁶
3x³y⁶
2. Simplify ( -2a⁴b )².
-4a⁸b²
4a⁸b²
4a⁶b²
-2a⁸b²
1. Simplify the expression: (5x²y³)⁴
2. Simplify the expression: (-3mn⁵)²
3. Simplify the expression: (2a³b⁻²)³
1. (x + y)² = x² + y²
True
False
2. (4p²q)³ = 64p⁶q³
True
False
Explain in your own words why (ab)ⁿ = aⁿbⁿ. Provide an example to illustrate your explanation.
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