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?

Answer 1

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

Answer 2

Try these cases

\(\large \color{black}{\begin{align} &even^{even} \hspace{.33em}\\~\\
&even^{odd} \hspace{.33em}\\~\\
&odd^{even} \hspace{.33em}\\~\\
&odd^{odd} \hspace{.33em}\\~\\
\end{align}}\)

Answer 3

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

Answer 4

not sure if always true, although i think it is

Answer 5

You are correct , they are true.

Answer 6

thank you both :)