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Understand Multiplication of Algebraic Terms with Powers

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

'Understand Multiplication of Algebraic Terms with Powers' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Algebra

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

Difficulty level:  

Worksheet Overview

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



Do the following multiplication:


a9 × a3 =



Method 1

Break down 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


Does that make sense? Let's test it out in some questions.

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