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Apply Fractional Indices

In this worksheet, students will revise and apply fractional indices.

'Apply Fractional Indices' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

A fractional index of a half is the equivalent of finding a square root.

 

Using the rules for multiplying powers, notice that:

9½ x 9½ = 91

 

Which is then the equivalent of:

√9 x √9 = 9

 

Therefore, 

9½ = √9 = 3

 

Using this explanation, let's apply the same method to some questions.

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