Negative Indices Worksheet

In this worksheet, students understand and use negative indices.

Key stage: KS 3

Curriculum topic: Number

Curriculum subtopic: Understand Integer Powers/Real Roots

Difficulty level:

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Worksheet Overview

QUESTION 1 of 10

A negative index means "1 over".

So:

And:

Select the option which is equal to:

2³

3^-2

2^-3

Select the option which is equal to:

3²

2³

3^-2

2^-3

Select the option which is equal to:

3⁴

4³

3^-4

4^-3

Select the option which is equal to:

2⁴

2^-4

2⁴

4^-2

Select the option which is equal to:

3⁴

2^-4

2 x 2⁴

2 x 3^-4

Select the option which is equal to:

x⁴

2^-4

4^-x

x^-4

Select the option which is equal to:

a²

a^-2

2^-a

a²

Select the option which is equal to:

a²

3a^-2

9^-a

a^-6

Select the option which is equal to:

x³

4x^-2

12^-x

4x^-3

Select the option which is equal to:

a³

3a³

3a^-3

27a^-3

ANSWERS

Question 1

Select the option which is equal to:

2³

CORRECT ANSWER

2^-3

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

a^-b

ANSWERS

Question 2

Select the option which is equal to:

3²

CORRECT ANSWER

3^-2

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

a^-b

ANSWERS

Question 3

Select the option which is equal to:

3⁴

CORRECT ANSWER

3^-4

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

a^-b

ANSWERS

Question 4

Select the option which is equal to:

2⁴

CORRECT ANSWER

2^-4

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

a^-b

ANSWERS

Question 5

Select the option which is equal to:

3⁴

CORRECT ANSWER

2 x 3^-4

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

c x a^-b

ANSWERS

Question 6

Select the option which is equal to:

x⁴

CORRECT ANSWER

x^-4

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

a^-b

ANSWERS

Question 7

Select the option which is equal to:

a²

CORRECT ANSWER

a^-2

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

a^-b

ANSWERS

Question 8

Select the option which is equal to:

a²

CORRECT ANSWER

3a^-2

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

c x a^-b

ANSWERS

Question 9

Select the option which is equal to:

x³

CORRECT ANSWER

4x^-3

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

c x a^-b

ANSWERS

Question 10

Select the option which is equal to:

a³

CORRECT ANSWER

3a^-3

EDDIE SAYS

If the index number is on the denominator of the fraction. It means it must be a negative index.

a^b

c x a^-b

---- OR ----

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