Show that 13 divides $2^{70}+3^{70}$ 
Show that $13$ divides $2^{70} + 3^{70}$.

My main problem here is trying to figure out how to separate the two elements in the sum, and then use Fermat's little theorem. So how can I separate the two?
Thanks!

HINT $\rm\: $ Little Fermat shows $\rm\ mod\ 13:\ \ 2^{70} + 3^{70}\ \equiv\ 2^{-2} + 3^{-2}\ \equiv\ 1/4+1/9\ \equiv 13/36\ \equiv\ 0$
NOTE $\ $ For a slight generalization see here.
