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Fractional and Negative Indices

Practice worksheet for Grade 8 students on understanding and applying fractional and negative indices in mathematical expressions.

Grade 8 Math Number SenseFractional and Negative Indices
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

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

Topics

mathgrade 8indicesexponentsfractional exponentsnegative exponents
7 sections · Free to use · Printable
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Fractional and Negative Indices

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work where applicable. Remember the rules for fractional and negative indices.

1. A negative index indicates the   of the base.

2. An expression like x^(1/n) is equivalent to the   root of x.

3. To evaluate 8^(2/3), you first find the cube root of 8 and then   the result.

4. Any non-zero number raised to the power of zero is equal to  .

5. Which of the following is equivalent to 4^(-2)?

a

-16

b

1/16

c

16

d

-1/16

6. What is the value of 27^(1/3)?

a

3

b

9

c

27

d

1/3

7. Evaluate the expression: 100^(1/2).

8. Simplify the expression: (x^3)^(-2).

9. The expression 5^(-1) is equal to -5.

T

True

F

False

10. The value of 64^(2/3) is 16.

T

True

F

False

11. Without using a calculator, calculate the value of 16^(-1/4).