Question 249143
{{{2^2008}}} = {{{(2^8)^251}}} = {{{256^251}}}


Any number ending in 6, when raised to a power, will end in 6.


Therefore, the last digit is 6.



Source: 
http://www.mathhelpforum.com/math-help/number-theory/23520-what-last-digit-2-1000-a.html