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In this worksheet, students simplify numerical expressions using powers.

'Powers' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

Calculating 2 x 2 x 2 x 2 x 2 x 2 x 2 is quite easy and probably takes less time than writing it all out.


So we have invented a shortcut way of writing this out.

After checking that all the numbers are the same (here they are all 2s), count them up.

There are 7 here.


So instead of writing 2 x 2 x 2 x 2 x 2 x 2 x 2, we can write 27.


We read 27 as 2 to the power of 7 or as 2 to the 7.


Remember, to work this out we keep multiplying by 2......

2, 4, 8, 16, 32, 64, 128

So 27 = 128


Be careful

This has nothing really to do with the number 7 itself.  

It is not the same as 2 x 7 = 14.  This would be the answer to 2 + 2 + 2 + 2 + 2 + 2 + 2


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