## anonymous one year ago if m and n are integers > 0 if m is an even number , is m^n always even? if m is an odd number, is m^n always odd?

1. sweetburger

try to 6^3 6^5 6^7 using your calculator do you find this numbers to always be even or not?

2. mathmath333

Try these cases \large \color{black}{\begin{align} &even^{even} \hspace{.33em}\\~\\ &even^{odd} \hspace{.33em}\\~\\ &odd^{even} \hspace{.33em}\\~\\ &odd^{odd} \hspace{.33em}\\~\\ \end{align}}

3. anonymous

@mathmath333 ty, i tried those and i am thinking that the statement i made is true but not sure..

4. anonymous

not sure if always true, although i think it is

5. Haseeb96

You are correct , they are true.

6. anonymous

thank you both :)