This is the proof(adsbygoogle = window.adsbygoogle || []).push({});

http://planetmath.org/encyclopedia/ProofOfPropertiesOfTheExponential.html [Broken]

I wonder what they do when they describe monotnicity for integers. Why is

[tex]x^p<y<p[/tex] when x<y and p is a positive integer? What if p was really large?

and further down in the part homogeneity for rational exponents is there a typo there? Should not

[tex] (v_1 v_2)^n > (xy)^m[/tex]

and not

[tex] (v_1 v_2)^n < (xy)^m[/tex]

or?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Proof of a^xy=a^x+a^y

Loading...

Similar Threads for Proof a^xy=a^x+a^y |
---|

I Convergence of ##\{\mathrm{sinc}^n(x)\}_{n\in\mathbb{N}}## |

B Proof of a limit rule |

B Proof of quotient rule using Leibniz differentials |

B Don't follow one small step in proof |

**Physics Forums | Science Articles, Homework Help, Discussion**