Recursive Exponentiation (using c language) Write a recursive function power(base, exponent) that when invoked returns baseexponent. For example, power(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than or equal to 1. Then, write a demo program that uses the power function and test it out for a number of inputs. Hint: The recursion step would use the relationship baseexponent = base * baseexponent–1 and the terminating condition occurs when exponent is equal to 1 because base1 = base

Recursive Exponentiation (using c language) Write a recursive function power(base, exponent) that when invoked returns baseexponent. For example, power(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than or equal to 1. Then, write a demo program that uses the power function and test it out for a number of inputs. Hint: The recursion step would use the relationship baseexponent = base * baseexponent–1 and the terminating condition occurs when exponent is equal to 1 because base1 = base

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 1TF

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Recursive Exponentiation (using c language)

Write a recursive function power(base, exponent) that when invoked returns

base_exponent.

For example, power(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than or equal to 1.

Then, write a demo program that uses the power function and test it out for a number of inputs.

Hint:

The recursion step would use the relationship

base_exponent = base * base_exponent–1

and the terminating condition occurs when exponent is equal to 1 because

base₁ = base

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