Answer: Exercises 6–9 each contain a while loop annotated

Chapter 5, Problem 6E

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Exercises 6–9 each contain a while loop annotated with a preand a post-condition and also a loop invariant. In each case, use the loop invariant theorem to prove the correctness of the loop with respect to the pre- and post-conditions.[Pre-condition: m is a nonnegative integer, x is a real number,i = 0, and exp = 1.]while ( i ? m)1. exp := exp· x2. i := i + 1end while[Post-condition: exp = xm]loop invariant: I (n) is “exp = xn and i = n.”