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Multiply Algebraic Terms with Powers

In this worksheet, students will multiply more complicated algebraic terms.

'Multiply Algebraic Terms with Powers' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

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





2a3b × 5a4b2



Break down what 2a3b and 5a4b2 mean and multiply them.


We get:    

2 × a × a × a × b × 5 × a × a × a × a × b × b


Bring the numbers to the front and separate the letters to get:

2 × 5 × a × a × a × a × a × a × a × b × b × b


This gives us

10 × a × a × a × a × a × a × a × b × b × b


which simplifies to



Quick method


2a3b × 5a4b2



Take the terms one at a time.


Start by multiplying the numbers (2 × 5 = 10).


Then deal with the indices of identical letters by adding the powers:  for a: 3 + 4 = 7 and for b: 1 + 2 = 3

Answer is 10a7b3.


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