The **exponent** that a number says **how plenty of times** to usage the number in a multiplication.

You are watching: -5 to the 4th power

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

In words: 82 could be called "8 come the strength 2" or "8 come the second power", or merely "8 squared"

Exponents are also called powers or Indices.

Some much more examples:

### Example: **53 = 5 × 5 × 5 = 125**

In words: 53 might be referred to as "5 come the 3rd power", "5 come the strength 3" or simply "5 cubed" ### Example: **24 = 2 × 2 × 2 × 2 = 16**

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

an tells you to multiply a by itself,so there space n that those a"s: |

## Another means of creating It

Sometimes civilization use the **^** prize (above the 6 on your keyboard), together it is easy to type.

## Negative Exponents

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

So we division by the number every time, i beg your pardon is the very same as multiply by *1***number**

## Negative? upper and lower reversal the Positive!

That last instance showed one easier way to handle an unfavorable exponents: calculate the confident exponent (an) |

More Examples:

an adverse Exponent mutual of

**Positive Exponent prize**

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, then you just have the number itself (example 91 = 9) | |

0 | If the exponent is 0, climate you acquire 1 (example 90 = 1) | |

But what around 00 ? It might be either 1 or 0, and also so human being say it is "indeterminate". |

## It All provides Sense

If you look at the table, friend will see that positive, zero ornegative exponents room really part of the same (fairly simple) pattern:

Example: powers of 5

.. Etc.. See more: How To Add Custom Music To Sims 3, Custom Music In The Sims 3 For Various Modes | |||

52 | 5 × 5 | 25 | |

51 | 5 | 5 | |

50 | 1 | 1 | |

5-1 | 15 | 0.2 | |

5-2 | 15 × 15 | 0.04 | |

.. Etc.. |