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Numbers: Powers of Fractions (2)

In this worksheet, students work out powers of fractions.

'Numbers: Powers of Fractions (2)' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Finding powers of fractions is simple if we change the powers into multiplications.

We can either multiply the top numbers together and then the bottom numbers together, remembering to reduce the final answer, or we can cancel down within the calculation if possible.

 

Example

Work out

 

Answer

Expand the power to create a multiplication. 

Here the power of 4 means we multiply the fraction by itself 4 times.

 

3 × 3 × 3 × 3
10 10 10 10

 

 

= 3 × 3 × 3 × 3
10 × 10 × 10 × 10

 

 

= 81
10000

Work out

( 3 )2
10

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 3 )3
4

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 2 )2
5

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 3 )2
4

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 1 )5
2

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 3 )4
10

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 1 )6
2

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 1 )7
2

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 2 )2
3

 

(Write your answer in its lowest terms in the form a/b)

Work out

( 7 )3
10

 

(Write your answer in its lowest terms in the form a/b)

  • Question 1

Work out

( 3 )2
10

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
9/100
  • Question 2

Work out

( 3 )3
4

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
27/64
  • Question 3

Work out

( 2 )2
5

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
4/25
  • Question 4

Work out

( 3 )2
4

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
9/16
  • Question 5

Work out

( 1 )5
2

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
1/32
  • Question 6

Work out

( 3 )4
10

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
81/10000
  • Question 7

Work out

( 1 )6
2

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
1/64
  • Question 8

Work out

( 1 )7
2

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
1/128
  • Question 9

Work out

( 2 )2
3

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
4/9
  • Question 10

Work out

( 7 )3
10

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
343/1000
---- OR ----

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