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Power to a Power Exponents Worksheet

Practice worksheet for 8th-grade students on applying the power to a power rule for exponents.

Grade 8 Math Number SenseExponentsPower to a Power
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.A.1

Topics

mathgrade 8exponentspower to a poweralgebra
6 sections · Free to use · Printable
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Power to a Power Exponents

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Apply the power to a power rule to simplify each expression. Remember that when raising a power to another power, you multiply the exponents.

1. (x²)³ =  

2. (y⁵)⁴ =  

3. (a³)⁷ =  

4. (b⁶)² =  

5. (2⁴)³ =  

6. Which expression is equivalent to (m⁸)³?

a

m¹¹

b

m²⁴

c

m⁵

d

3m⁸

7. Simplify (3²)⁴.

a

3⁶

b

3⁸

c

3¹⁶

d

9⁸

8. Explain in your own words how to simplify an expression where a power is raised to another power. Provide an example.

9. (x³)⁵ is equivalent to x⁸.

T

True

F

False

10. (y²)⁶ simplifies to y¹².

T

True

F

False