The **exponent** that a number claims **how countless times** to usage the number in a multiplication.

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

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

Exponents are also called strength or Indices.

Some more examples:

### Example: **53 = 5 × 5 × 5 = 125**

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

In words: 24 could be called "2 come the fourth power" or "2 come the strength 4" or just "2 come the 4th" So** in general**:

an speak you to main point a by itself,so there space n of those a"s: |

## Another way of writing It

Sometimes people use the **^** symbol (above the 6 on your keyboard), together it is straightforward to type.

## Negative Exponents

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

So we division by the number every time, which is the same as multiplying by *1***number**

## Negative? upper and lower reversal the Positive!

That last example showed one easier means to handle negative exponents: calculation the optimistic exponent (an) |

More Examples:

an unfavorable Exponent reciprocal 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 actually the number itself (example 91 = 9) | |

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

But what about 00 ? It might be either 1 or 0, and so world say it is "indeterminate". |

## It All provides Sense

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

Example: powers of 5

.. Etc.. See more: Which Substance Is An Example Of A Network Solid ? Which Substance Is An Example Of A Network Solid | |||

52 | 5 × 5 | 25 | |

51 | 5 | 5 | |

50 | 1 | 1 | |

5-1 | 15 | 0.2 | |

5-2 | 15 × 15 | 0.04 | |

.. Etc.. |