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

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

View the Worksheets**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.