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Practise Dividing Algebraic Terms with Powers

In this worksheet, students will divide algebraic terms giving their answers as a single fraction.

'Practise Dividing Algebraic Terms with Powers ' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:  

Worksheet Overview

This activity is about the division of algebraic terms with powers.









Remember what 10a3 and 15a2 mean and divide them.

We get:    


10 x a x a x a 
15 x a x a


Each a from the top of the fraction will cancel out with an a from the bottom, leaving just one a the top.


However, we need not write out our method like this each time.


Remember the rules of indices for division:

a÷ an = am-n


In this example, we would calculate a3 - 2 = a1 or a


This gives us




which reduces by dividing the top and bottom by 5 to




Remember that we can use letters other than a when we write algebraic terms - and that these have to be alike to cancel each other out.

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