Eleven?

• Using the Euler's theorem :In $m^n$ /n , if n is relatively prime to m then m^φ(n) divided by n gives 1 as the remainder. In the problem that is :m=8 and n=100.First we must get this φ(100),this is 100(1- $\frac{1}{2}$ )(1- $\frac{1}{5}$ ).And that is equal to 40. To make the base of the exponential expression to a lesser value we can use $2^{264}$ ,so, $2^{240}$ x $2^{24}$ /100.Since $2^{240}$ is equal to 1, we now trying to manipulate remaining: $2^{24}$ /100.And that expression is a lesser value to manipulate on,and by the manipulation, the answer is 16.

Based on the answer choices, its the only even one there.