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Division of Algebraic Terms with Powers (3)

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

'Division of Algebraic Terms with Powers (3)' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:  

Worksheet Overview

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

 

Example

 Simplify:

10a2b5
15a3b2

 

 

Answer

Remember what 10a2b5 and 15a3b2 mean and divide them by subtracting the relevant indices.

We get:    

 

10 x a x a x b x b x b x b x b
15 x a x a x a x b x b

 

Cancel down a matching number of a terms from the top of the fraction with a terms from the bottom.  Similarly with b terms.

 

This leaves us:

 

10 x b x b x b
15 x a

 

which reduces by dividing top and bottom by 5 to

 

2b3
3a


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