# Numbers: Powers of Fractions (2)

In this worksheet, students work out powers of fractions.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:

### 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

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

Work out

 ( 3 )3 4

Work out

 ( 2 )2 5

Work out

 ( 3 )2 4

Work out

 ( 1 )5 2

Work out

 ( 3 )4 10

Work out

 ( 1 )6 2

Work out

 ( 1 )7 2

Work out

 ( 2 )2 3

Work out

 ( 7 )3 10

• Question 1

Work out

 ( 3 )2 10

9/100
• Question 2

Work out

 ( 3 )3 4

27/64
• Question 3

Work out

 ( 2 )2 5

4/25
• Question 4

Work out

 ( 3 )2 4

9/16
• Question 5

Work out

 ( 1 )5 2

1/32
• Question 6

Work out

 ( 3 )4 10

81/10000
• Question 7

Work out

 ( 1 )6 2

1/64
• Question 8

Work out

 ( 1 )7 2

1/128
• Question 9

Work out

 ( 2 )2 3

4/9
• Question 10

Work out

 ( 7 )3 10

343/1000
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