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Division of Algebraic Terms with Powers (2)

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

'Division of Algebraic Terms with Powers (2)' 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:

10a3
15a2

 

 

Answer

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.

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

Remembering the rules of indices for division:

a÷ an = am-n

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

This gives us

10a
15

which reduces by dividing top and bottom by 5 to

2a
3

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

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