**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.

a^{b}

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. 2^{3} 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**

2^{1} |
2^{2} |
2^{3} |
2^{4} |
2^{5} |

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**

3^{1} |
3^{2} |
3^{3} |
3^{4} |
3^{5} |

3 | 9 | 27 | 81 | 243 |

**Powers of 4**

4^{1} |
4^{2} |
4^{3} |
4^{4} |
4^{5} |

4 | 16 | 64 | 256 | 1024 |

**Powers of 5**

5^{1} |
5^{2} |
5^{3} |
5^{4} |
5^{5} |

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.