AMC 12 2008a Problem 15

Let $k={2008}^{2}+{2}^{2008}$. What is the units digit of $k^2+2^k$?

$\mathrm{(A)}\ 0 \mathrm{(B)}\ 2 \mathrm{(C)}\ 4 \mathrm{(D)}\ 6 \mathrm{(E)}\ 8$