Power to a Power Worksheet

Grade 12 Math worksheet focusing on the 'Power to a Power' exponent rule with various practice problems.

Grade 12 Math Number SenseExponentsPower to a Power

Use This Worksheet

Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

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

Topics

MathGrade 12ExponentsPower to a PowerAlgebra

6 sections · Free to use · Printable

Power to a Power Exponent Rule

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Date:

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Read each question carefully and apply the 'Power to a Power' exponent rule to simplify the expressions.

1. Simplify: (x^3)^5 =

2. Simplify: (a^2b^4)^3 =

3. Simplify: (2y^5)^2 =

4. Simplify: (-3m^2n^3)^4 =

5. Which of the following is equivalent to (p^6)^2?

p^8

p^12

2p^6

p^36

6. The expression (x^4)^-2 simplifies to:

x^2

x^-2

1/x^8

x^8

7. A square has a side length of (5x^2)^3 units. What is the area of the square in simplified form? Show your work.

8. Explain in your own words the 'Power to a Power' rule for exponents. Provide an example.

9. The expression (x^a)^b is equal to x^(a+b).

True

False

10. ( (2^2)^3 )^2 simplifies to 2^12.

True

False