You've probably already seen that in math there are different ways of writing the same thing:

4 + 4 + 4 + 4 + 4

(repeated addition)

and

4 x 5 (multiplication)

Multiplication is a shorter and neater way of showing repeated addition.

**Powers: Bases and Exponents**

In a similar way to how multiplication can be used in place of repeated addition, Powers can be used to show repeated multiplication.

3 x 3 x 3 x 3 x 3 (repeated multiplication)

and

3^{5} (Power)

## Download the Understanding Exponents Worksheets

Looking for the best way to teach students about Understanding Exponents?

This premium worksheet bundle contains 10 activities to challenge your students and help them understand Exponents.

**New Words and Terms To Learn**

Powers have two parts; a base and an exponent. There are different ways of "saying" powers that you might hear:1. the fifth power of three2. three raised to the fifth power3. three to the power of five, or just4. three to the fifth |

Memory Hint: base is on the bottom - like most bases!

**Examples with bases and exponents**

The examples below will help with understanding how values, bases, exponents, powers, and repeated multiplication are related.

Power | Base | Exponent | Repeated Multiplication | Value |

4^{3} |
4 | 3 | 4 x 4 x 4 | 64 |

3^{5} |
3 | 5 | 3 x 3 x 3 x 3 x 3 | 243 |

2^{6} |
2 | 6 | 2 x 2 x 2 x 2 x 2 x 2 | 64 |

5^{4} |
5 | 4 | 5 x 5 x 5 x 5 | 625 |

7^{3} |
7 | 3 | 7 x 7 x 7 | 343 |

**Repeated Multiplication**

**Exponents Worksheets**

Try the worksheets below to practice working with exponents and bases.