<p>Let <img alt="$k={2008}^{2}+{2}^{2008}$" height="16" src="https://latex.artofproblemsolving.com/9/4/9/949ff10f2f14d12c3c690a0afe2ead4130f357e1.png" width="135" />. What is the units digit of <img alt="$k^2+2^k$" height="17" src="https://latex.artofproblemsolving.com/0/c/0/0c01c032b94ec9ecda551db1d9b16f9a9655cd19.png" width="55" />?</p>