The value of the infinite product: 2^1/5 * 4^1/25 * 8^1/125 * 16^1/625 * ... can be expressed in simplest radical form as the n

^{th}root of a to the b power. Compute n+a+b.I got up to the point where I know that the factors in the equation go in the formula 2

^{n/5n}, and I converted it to radical form, but I still don't know what n, a, and b are. Thanks!