Power to a Power Exponents Worksheet

Practice worksheet for Grade 10 students on the 'Power to a Power' rule of exponents, including simplifying expressions and solving problems.

Grade 10 Math Number SenseExponentsPower to a Power

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

MathGrade 10ExponentsPower to a Power

7 sections · Free to use · Printable

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Power to a Power Exponents Worksheet

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Read each question carefully and simplify the exponential expressions using the 'Power to a Power' rule. Show all your work.

Simplify the following expressions:

1. (x^3)^5

2. (a^2b^4)^3

3. (2y^5)^4

4. ((-3)^2)^3

Complete the following statements:

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

2. The expression (m^p)^q is equivalent to m^ .

3. (5^2)^3 = 5^ = .

1. Which of the following is equivalent to (x^4)^2?

x^6

x^8

x^16

2x^4

2. The simplified form of ( (p^2)^3 )^4 is:

p^9

p^12

p^24

p^64

Indicate whether each statement is True or False:

1. (x^2)^3 is equal to x^5.

True

False

2. (4^1)^0 simplifies to 1.

True

False

Solve the following problems:

1. If the side length of a square is represented by 3x^2, what is the area of the square? Express your answer in simplest exponential form.

2. A rectangular prism has a length of (y^3)^2, a width of y^4, and a height of (y^2)^3. Find the volume of the prism. Express your answer in simplest exponential form.