Negative and Fractional Indices Worksheet

Grade 10 Math worksheet focusing on understanding and applying negative and fractional indices.

Grade 10 Math Number SenseExponentsNegative and Fractional Indices

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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.CCCSS.MATH.CONTENT.HSN.RN.A.2

7 sections · Free to use · Printable

Negative and Fractional Indices

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Read each question carefully and show all your work. Simplify all answers to their simplest form.

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

2. A negative index indicates the of the base.

3. The expression x^(1/n) is equivalent to the root of x.

1. Which of the following is equivalent to 5⁻²?

-25

1/25

1/10

2. Simplify (81)^(1/4).

81/4

1. Simplify the following expressions, leaving your answers with positive indices:

a) x⁻⁵

b) (2a³)⁻²

c) (x^(1/3))⁶

d) 9^(3/2)

1. (4x)⁰ = 1, for all real numbers x.

True

False

2. The expression (-27)^(1/3) simplifies to -3.

True

False

1. If 2^x = 1/16, find the value of x.

2. Evaluate (64/27)^(-2/3).