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?

Question

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?

sweetburger · Answer

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

mathmath333 · Answer

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

anonymous · Answer

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

anonymous · Answer

not sure if always true, although i think it is

haseeb96 · Answer

You are correct , they are true.

anonymous · Answer

thank you both :)