Calculate the Powers of Fractions

In this worksheet, students will work out powers of fractions.

Key stage: KS 3

Year: Year 9 Maths worksheets

Curriculum topic: Number

Curriculum subtopic: Use Four Operations for All Numbers

Difficulty level:

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Worksheet Overview

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

Reduce the fraction if you can

This gives

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

=	3⁴
	10⁴

=	81
	10,000

Let's try some questions now.

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