Power to a Power Exponents Worksheet

Practice worksheet for 6th graders on understanding and calculating expressions with powers raised to another power.

Grade 6 Math Number SenseExponentsPower to a Power

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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.A.1

Topics

mathgrade 6exponentspower to a power

7 sections · Free to use · Printable

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Power to a Power Exponents

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Read each question carefully and follow the instructions to simplify or evaluate the exponential expressions. Remember the rule for 'power to a power': multiply the exponents.

1. When you raise a power to another power, you the exponents.

2. The expression (2³)⁴ is equivalent to 2 raised to the power of .

3. To simplify (x⁵)², you would write x to the power of .

4. Which expression is equivalent to (3²)³?

3⁵

3⁶

3⁸

9⁶

5. Simplify (5⁴)³:

5⁷

5¹²

25¹²

5⁶⁴

6. Simplify (7⁶)². Show your work.

7. Simplify (a³)⁵. Show your work.

8. (4²)³ is equal to 4⁵.

True

False

9. A cube has a side length of (2²) cm. What is the volume of the cube in simplified exponential form?