The **exponent** of a number states **how plenty of times** to use the number in a multiplication.

You are watching: 2 to the power of -3

In **82** the \"2\" states to usage 8 double in a multiplication,**so 82 = 8 × 8 = 64**

In words: 82 might be referred to as \"8 come the power 2\" or \"8 to the 2nd power\", or just \"8 squared\"

Exponents are additionally called powers or Indices.

Some more examples:

### Example: **53 = 5 × 5 × 5 = 125**

In words: 53 could be called \"5 to the third power\", \"5 come the power 3\" or simply \"5 cubed\" ### Example: **24 = 2 × 2 × 2 × 2 = 16**

In words: 24 might be referred to as \"2 come the 4th power\" or \"2 to the power 4\" or just \"2 come the 4th\" So** in general**:

an speak you to main point a by itself,so there room n that those a\"s: |

## Another way of composing It

Sometimes world use the **^** price (above the 6 on her keyboard), together it is simple to type.

## Negative Exponents

Negative? What might be the opposite of multiplying? Dividing!

So we divide by the number each time, which is the very same as multiplying by *1***number**

## Negative? flip the Positive!

That last instance showed an easier method to handle an adverse exponents: calculation the optimistic exponent (an) |

More Examples:

an unfavorable Exponent reciprocal of

**Positive Exponent price**

4-2 | = | 1 / 42 | = | 1/16 = 0.0625 |

10-3 | = | 1 / 103 | = | 1/1,000 = 0.001 |

(-2)-3 | = | 1 / (-2)3 | = | 1/(-8) = -0.125 |

## What if the Exponent is 1, or 0?

1 | If the exponent is 1, climate you just have actually the number chin (example 91 = 9) | |

0 | If the exponent is 0, then you gain 1 (example 90 = 1) | |

But what around 00 ? It can be one of two people 1 or 0, and also so people say it is \"indeterminate\". |

## It All renders Sense

If you look at that table, friend will view that positive, zero ornegative exponents are really component of the very same (fairly simple) pattern:

Example: powers of 5

.. Etc.. See more: Girl Peed In Her Pants, My Friend, Why I Told My Daughter To Pee Her Pants | |||

52 | 5 × 5 | 25 | |

51 | 5 | 5 | |

50 | 1 | 1 | |

5-1 | 15 | 0.2 | |

5-2 | 15 × 15 | 0.04 | |

.. Etc.. |