Question: 2. In this problem, you will write different programs to 3:, where x E R, n e N. a) Devise an iterative algorithm to compute

2. In this problem, you will write different programs to 3:", where x E R, n e N. a) Devise an iterative algorithm to compute as\" using only multiplications. b) Devise a recursive algorithm to compute :13", using the fact that x\" = x . sun1. '1 2 2 . . c) Revise your algorithm in b) to exploit the fact that x" = (a: / ) 1f n 18 even

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