For this problem consider raising an integer a to the power n (another positive integer). Let a" express the output to this problem. 1. (2 point) Express this problem formally with input and output conditions. 2. (4 points) Describe a simple brute force algorithm to compute this product. How many multiplications does it take asymptotically in the worst case? product of two subproblems. subproblems (and possibly other terms) 3. (2 point) Assume for the moment that n>1 and is even. Express the value of a" as a 5. (4 point) State a self-reduction for your problem. 6. (4 points) State a recursive algorithm that solves the