Negative and Fractional Indices

A Grade 9 math worksheet focusing on understanding and applying negative and fractional indices in various numerical expressions.

Grade 9 Math Number SenseExponentsNegative and Fractional Indices

Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

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

Topics

mathgrade 9exponentsindicesalgebra

7 sections · Free to use · Printable

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your working steps for full credit.

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

-25

1/25

1/10

2. What is the value of 8^(1/3)?

8/3

1/8

3. Any non-zero number raised to a negative exponent is equal to the reciprocal of the base raised to the exponent.

4. The expression x^(m/n) can be written as the n-th root of x raised to the power of .

5. Evaluate (16)^(3/4) without using a calculator. Show your steps.

6. Simplify (2x⁻³y²)⁻² and express your answer with positive exponents only.

7. (1/4)⁻² is equal to 16.

True

False

8. The expression √x is the same as x^(1/2).

True

False

9. A rectangular plot of land has a width of 3⁻¹ meters and a length of 9^(1/2) meters. Calculate the area of the plot.