Be sure to show the base case, the inductive hypothesis and the inductive step.

Problem 5. (10 points) Consider the following Scheme definition: (define (tower m) (if (-m 0)1 (power (tower (-m 1)))) .2 Prove that (tower m) is a "tower of powers" 22 of height m. Problem 5. (10 points) Consider the following Scheme definition: (define (tower m) (if (-m 0)1 (power (tower (-m 1)))) .2 Prove that (tower m) is a "tower of powers" 22 of height m