Engineering, 05.05.2020 19:04, plug30

For this problem consider raising an integerato the powern(another positive integer). Letanexpress the output to this problem.1. (2 point) Express this problem formally with input and output conditions.2.(2 points) Describe a simple brute force algorithm to compute this product. How manymultiplications does it take asymptotically in the worst case?3.(2 point) Assume for the moment thatn>1 and is even. Express the value ofanas aproduct of two subproblems.4.(2 point) Now assumen>1 and is odd. Express the value ofanas a product of twosubproblems (and possibly other terms).5. (5 points) State a self-reduction for your problem.6. (5 points) State a recursive algorithm that solves the problem.

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For this problem consider raising an integerato the powern(another positive integer). Letanexpress t...