How do you simplify numbers with powers?

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This is your example problem: (m4)3

First of all remember what a single power means. So:

m4 = m x m x m x m

This must mean that:

(m4)3 = m4 x m4 x m4

​If you expand this out, how many m's will you get?

(m4)3 = m x m x m x m x m x m x m x m x m x m x m x m

We have 12 m's. Can you see how we might get 12 from the numbers we were given in the question? By explanding it out we have proven that you multiply the 4 and the 3.

This rule can be applied to all problems like this.

Maddie S. 13 plus  Maths tutor, GCSE Maths tutor, 11 Plus Maths tutor

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