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Understand Multiplication of Algebraic Terms with Powers

In this worksheet, students multiply algebraic terms with indices or powers.

'Understand Multiplication of Algebraic Terms with Powers' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Difficulty level:  

Worksheet Overview

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

 

Example

Do the following multiplication.

a9 × a3 =

 
 
 

 

Method 1

Remember what a9 and a3 mean and multiply them together.

We get: a × a × a × a × a × a × a × a × a × a × a × a

 

This can be simplified to a12

 

Method 2

The other way we can look at this is by just looking at the indices. We already know that a9 x a3 = a12

The trick to notice here is that if we are multiplying numbers written as powers, we can just add the indices.

a9 x a3 = a(9+3) = a12

 

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