i guess the Q is 7^2008..
7^2008 is in the form of 7^4n..n=502
7^4 has 01 as the last two digits.
the unit's digit is 1
to find the tens digit, tens digit i.e 0 in 01 should be multiplied by the units digit in the power i.e 2 in 502..
hence the last 2 digits are 01