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Fractional and Negative Indices

Explore and practice working with fractional and negative indices in mathematical expressions.

Grade 9 Math Number SenseFractional and Negative Indices
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.CCCSS.MATH.CONTENT.HSN.RN.A.1

Topics

MathGrade 9IndicesExponentsAlgebra
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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 working out where necessary.

1. Which of the following is equivalent to 8^(2/3)?

a

2

b

4

c

8

d

16

2. Simplify: (x^-3) * (x^5)

a

x^2

b

x^-2

c

x^-15

d

x^8

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

2. Any non-zero number raised to a negative exponent is equal to the   of the number raised to the positive exponent.

1. Express (y^(1/2))^4 in its simplest form.

2. Evaluate 27^(-1/3).

1. The expression (4x)^(-2) is equal to 1/(16x^2).

T

True

F

False

2. When multiplying terms with the same base, you add their exponents, even if they are fractional or negative.

T

True

F

False

1. Simplify the following expression, leaving your answer with positive indices only: (25x^4y^-2)^(1/2)

2. Write 1/(sqrt(a^3)) in index form.