Give a recursive algorithm whose input is a real number r and a non-negative integer n, and whose output is r(2n) . note that the exponent of r is 2n. your algorithm should only use addition and multiplication operations and should not contain any loops.

Explanation:

Let's use python for this:

recursive_exponent(n, r):

    if n == 0:

         return 1

    else:

         return r*recursive_exponent(n - 0.5, r)

To use this function, simply call it:

print(recursive_exponent(n, r))

The way it works is that n would start from top, and for each step it would get reduced by 0.5 until it gets to 0. Hence there will be 2n steps. At each step, r gets multiplied by itself. In the end r will multiplied by itself 2n times. Therefore,

answer:

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explanation:

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Explanation: