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  1. Maths
  2. Year 9
  3. Powers and Roots
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Negative Indices

In this worksheet, students understand and use negative indices.

'Negative Indices' worksheet

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:

 

1
23

 

23

3-2

2-3

Select the option which is equal to:

 

1
32

 

23

3-2

2-3

Select the option which is equal to:

 

1
34

 

43

3-4

4-3

Select the option which is equal to:

 

1
24

 

2-4

24

4-2

Select the option which is equal to:

 

2
34

 

2-4

2 x 24

2 x 3-4

Select the option which is equal to:

 

1
x4

 

2-4

4-x

x-4

Select the option which is equal to:

 

1
a2

 

a-2

2-a

a2

Select the option which is equal to:

 

3
a2

 

3a-2

9-a

a-6

Select the option which is equal to:

 

4
x3

 

4x-2

12-x

4x-3

Select the option which is equal to:

 

3
a3

 

3a3

3a-3

27a-3

  • ANSWERS
  • Question 1

Select the option which is equal to:

 

1
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.
1
ab
= a-b
  • ANSWERS
  • Question 2

Select the option which is equal to:

 

1
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.
1
ab
= a-b
  • ANSWERS
  • Question 3

Select the option which is equal to:

 

1
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.
1
ab
= a-b
  • ANSWERS
  • Question 4

Select the option which is equal to:

 

1
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.
1
ab
= a-b
  • ANSWERS
  • Question 5

Select the option which is equal to:

 

2
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.

c
ab
= c x a-b
  • ANSWERS
  • Question 6

Select the option which is equal to:

 

1
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.
1
ab
= a-b
  • ANSWERS
  • Question 7

Select the option which is equal to:

 

1
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.
1
ab
= a-b
  • ANSWERS
  • Question 8

Select the option which is equal to:

 

3
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.

c
ab
= c x a-b
  • ANSWERS
  • Question 9

Select the option which is equal to:

 

4
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.

c
ab
= c x a-b
  • ANSWERS
  • Question 10

Select the option which is equal to:

 

3
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.

c
ab
= c x a-b
---- OR ----

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