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Understand Negative Indices

In this worksheet, students will understand and use negative indices.

'Understand Negative Indices' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

What are negative indices?


They are numbers or terms with a negative index which means they can be written as a reciprocal of that number. 


For example:




How do we get negative indices?


Negative indices occur when multiplying or dividing two terms where the the result of adding or subtracting the powers gives a negative value.


For example:


a3 x a-5 = a3 + - 5 =  a-2 = 1/a2




p1 ÷ p2 = p1 - 2 = p-1 = 1/p


Does that make sense?


Let's have a go at some questions. If you need to check back to this introduction, just click on the red button on the right of the screen.

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