This **exponent calculator** makes the exponentiation calculation that involves two numbers: one is the base (x) and the other is the exponent (n), written as x^n.

## Exponent formula and rules

The formula that is used by this *exponent calculator* is: x^{n}=x*x*x*x..x (for n times)

For instance: 4^{3}=4*4*4=64.

Below there is the list with the exponent rules and laws:

- Zero exponent: x^{0}=1

- Case when base is one: 1^{n}=1

- Negative exponent: x^{-n}= 1 / x^{n}

- Radical of exponent: * ^{m}*√(x

*)= x*

^{n}

^{n}^{/m}

- Power of exponent: (x* ^{n}*)

*=*

^{m}*x*

^{n}^{·m}

- Dividing the exponents:

- In case the operation looks like: *x ^{n}*/ y

*= (*

^{n}*x*/

*y*)

^{ n} - In case the operation looks like: *x ^{n}*/ x

*= x*

^{m}

^{n}^{-m}

- Multiplying the exponents: *x ^{n}*· x

*= x*

^{m}

^{n}^{+m}

Here is a short table with the exponent calculation for the combinations of numbers between 0 – 9:

x^{n} |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |

0 |
- | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |

1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |

2 |
1 | 2 | 4 | 8 | 16 | 32 | 64 | 128 | 256 | 512 |

3 |
1 | 3 | 9 | 27 | 81 | 243 | 729 | 2187 | 6561 | 19683 |

4 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 | 16384 | 65536 | 262144 |

5 |
1 | 5 | 25 | 125 | 625 | 3125 | 15625 | 78125 | 390625 | 1953125 |

6 |
1 | 6 | 36 | 216 | 1296 | 7776 | 46656 | 279936 | 1679616 | 10077696 |

7 |
1 | 7 | 49 | 343 | 2401 | 16807 | 117649 | 823543 | 5764801 | 40353607 |

8 |
1 | 8 | 64 | 512 | 4096 | 32768 | 262144 | 2097152 | 16777216 | 134217728 |

9 |
1 | 9 | 81 | 729 | 6561 | 59049 | 531441 | 4782969 | 43046721 | 387420489 |