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Use Multiplication to Simplify Algebraic Powers

In this worksheet, students will use multiplication to simplify algebraic powers.

'Use Multiplication to Simplify Algebraic Powers' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

This activity is about simplifying algebraic powers using multiplication.








Remember what to the power of 4 means and multiply the terms 4 times.


We get:    

2a3b2 × 2a3b2 × 2a3b2 × 2a3b2


Multiply the numbers (2 × 2 × 2 × 2 = 16).


Add the indices of identical letters

(for the letter a: 3 + 3 + 3 + 3 = 12 and for the letter b: 2 + 2 + 2 + 2 = 8).


Answer is 16a12b8.


Now that you can see what is actually happening, we can use a quicker method to work these out.


All we do is to multiply the powers inside the bracket with the power outside the bracket.


a has the power of 3, so we multiply 3 by 4: 3 x 4 = 12 

b has the power of 2, so we multiply 2 by 4: 2 x 4 = 8




The only part that is tricky is the whole number of 2. We can't just multiply 2 by 4, we have to do 24 which is 16.




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