# Math Help - real analysis

1. ## real analysis

Let c>1 and $m,n \in N \mbox { with } \ m>n :
\\\\\\\\\\\mbox {prove that} \ {c^m}> {c^n}$

2. Since m > n we have and c>1
$c^{m-n}>1$ so we can then proceed in the following way
$c^{m}c^{-n}c^{n}>1c^{n}$
$c^{m}>c^{n}$