Exercise 2: (5+5=10 points) Naively, in order to compute x" for a real number x and a given positive integer n, we need to perform O(n) many multiplications. Question 2.1: Give an algorithm that takes as input x and n and computes x using only O(lg n) many multiplications (Hint: consider the case when n is even, and when n is odd). Question 2.2: Prove the correctness and time complexity bound of your algorithm