algebra precalculus - 8^n - 3^n is divisible by 5

My compitations:
Base Case= $8-3 = 5$ is divisible by $5$
Inductive Hypothesis$=$
$8^k - 3^k = 5M$
$8^k = 5M + 3^k$
$3^k = 8^k - 5M$

My final answer is $5(11M + 11^k)$
Please tell me if I have any mistake regarding my computations.