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Grade 8 Exponentiation Worksheet

A worksheet for 8th-grade students covering the fundamental rules and applications of exponentiation.

Grade 8 Math Number SenseExponentiation
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceMatching

Standards

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

Topics

MathGrade 8ExponentsNumber Sense
8 sections · Free to use · Printable
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Grade 8 Exponentiation Practice

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Date:

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Read each question carefully and follow the instructions. Simplify all expressions as much as possible.

1. Write the expression 5 x 5 x 5 x 5 in exponential form.

2. What is the value of 3⁴?

Fill in the blanks to complete the exponent rules.

3. When multiplying exponents with the same base, you   the powers. (e.g., xᵃ ⋅ xᵇ = xᵃ⁺ᵇ)

4. When dividing exponents with the same base, you   the powers. (e.g., xᵃ / xᵇ = xᵃ⁻ᵇ)

5. Which expression is equivalent to (2³)⁴?

a

2⁷

b

2¹²

c

8⁴

d

2³⁴

6. Simplify (7⁰).

7. Rewrite 4⁻² with a positive exponent.

Match each expression on the left with its simplified form on the right.

8. x⁵ ⋅ x³

 

a. 1

9. (y²)⁶

 

b. x⁸

10. a⁷ / a²

 

c. y¹²

11. (3x)⁰

 

d. a⁵

12. Simplify the expression: (2x³y²)⁴

13. Evaluate: 5⁻³