2008 AMC 10A Problem 24

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

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

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.