Division of Algebraic Terms with Powers (2)

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

Key stage: KS 3

Curriculum topic: Algebra

Curriculum subtopic: Use and Interpret Algebraic Notation

Difficulty level:

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Worksheet Overview

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

Example

Simplify:

10a²

15a³

Answer

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

We get:

10 x ~~a x a~~

15 x a x ~~a x a~~

Each a from the top of the fraction will cancel out with an a from the bottom.

This gives us

15a

which reduces by dividing top and bottom by 5 to

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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