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What is a power?
Powers are where we multiply numbers by themselves a given number of times.
They can also be called indices and orders.
ab
The bottom number (called the base) is the number we are multiplying together.
The top number (the power, index or order) is how many of them we will multiply together.
e.g. 23 means to multiply three numbers 2s together (2 x 2 x 2).
You will be expected to know the powers for 2, 3, 4 and 5:
Powers of 2
21 | 22 | 23 | 24 | 25 |
2 | 2 x 2 | 2 x 2 x 2 | 2 x 2 x 2 x 2 | 2 x 2 x 2 x 2 x 2 |
2 | 4 | 8 | 16 | 32 |
Powers of 3
31 | 32 | 33 | 34 | 35 |
3 | 9 | 27 | 81 | 243 |
Powers of 4
41 | 42 | 43 | 44 | 45 |
4 | 16 | 64 | 256 | 1024 |
Powers of 5
51 | 52 | 53 | 54 | 55 |
5 | 25 | 125 | 625 | 3125 |
In this activity, we will calculate powers up to 5 and roots, building up recognition of the most common examples and their products.
Question
/ 10Mr Parkinson
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Teacher explanation