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Power of a Product Worksheet

Grade 11 Math worksheet covering the Power of a Product rule with various practice problems.

Grade 11 Math Number SensePower of a Product
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.C

Topics

mathalgebraexponentspower of a productgrade 11
7 sections · Free to use · Printable
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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?

a

9x³y⁶

b

27x³y⁵

c

27x³y⁶

d

3x³y⁶

2. Simplify ( -2a⁴b )².

a

-4a⁸b²

b

4a⁸b²

c

4a⁶b²

d

-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

T

True

F

False

2. (4p²q)³ = 64p⁶q³

T

True

F

False

Explain in your own words why (ab)ⁿ = aⁿbⁿ. Provide an example to illustrate your explanation.