show that $3^{1974} + 5^{1974} \equiv 0 \bmod 13$

show that $3^{1974} + 5^{1974} \equiv 0 \bmod 13$

My attempt with this question was to use Fermate Little's THM. But I do not understand how to properly use it for this question. Can some one show me a proof.

• What is $1974\pmod {12}$? – abiessu Apr 13 '16 at 18:49