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Here are some ways to show that n

9

I can multiply by 1 without changing the result:

9

9

9

9

9

2^{n}
= |
Result |
---|---|

2^{3} |
8 |

2^{2} |
4 |

2^{1} |
2 |

2^{0} |
1 |

2^{-1} |
0.5 |

Try it with any number (exept 0 to the power of 0) and you will see the same pattern

3^{4} |
= 1 | but we know that | n^{a} |
=
n^{a-b} |

3^{4} |
n^{b} |

therefore

3^{4} |
=
3^{4-4} = 3^{0} = 1 |

3^{4} |

5

well multiplying by 1 will satisfy it:

5

No problem. What happens if I replace it with something that is equivalent to 1?

5

Again, adding the indices will show you that I haven't broken any mathematical laws:

5

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information to these pages? You can contact me at the bottom of the home page. |