# Powers and Exponents

A **power** is the product of **multiplying a number by itself.**

Usually, a power is represented with **a base number** and **an exponent.** The **base number** tells **what number is being multiplied.** The **exponent,** a small number written above and to the right of the base number, tells **how many times** the base number is being multiplied.

For example, “6 to the 5th power” may be written as “6^{5}.” Here, the base number is 6 and the exponent is 5. This means that 6 is being multiplied by itself 5 times: 6 x 6 x 6 x 6 x 6

6 x 6 x 6 x 6 x 6 = 7,776 *or* 6^{5} = 7,776

base number | 2nd power | 3rd power | 4th power | 5th power |

1 | 1 | 1 | 1 | 1 |

2 | 4 | 8 | 16 | 32 |

3 | 9 | 27 | 81 | 243 |

4 | 16 | 64 | 256 | 1,024 |

5 | 25 | 125 | 625 | 3,125 |

6 | 36 | 216 | 1,296 | 7,776 |

7 | 49 | 343 | 2,401 | 16,807 |

8 | 64 | 512 | 4,096 | 32,768 |

9 | 81 | 729 | 6,561 | 59,049 |

10 | 100 | 1,000 | 10,000 | 100,000 |

11 | 121 | 1,331 | 14,641 | 161,051 |

12 | 144 | 1,728 | 20,736 | 248,832 |