Implement a recursive method that returns xn

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Reference no: EM13702973

You need to implement a recursive method that returns xn.

Question: Suppose we want methods that compute the value of a double precision number raised to an integer power.

Computing x^n by repeated multiplication takes n-1 multiplications. We cand o much better using the subsequent fact.

\(Let p(x, n) = x^{n}\)

p(x, n) = {1 if n = 0,

{x if n = 1,

{p(x, n/2)^2 if n is even,

{x*p(x, n/2)^2 if n is odd (n/2 uses integer division)

Use this fact to prepare a recursive method that computes xn. For efficiency reasons, it is important that each invocation of your method makes/executes only a single recursive call.

Note: computing x100 using repeated multiplication takes 99 multiplications while using the above fact requires only 8!

Reference no: EM13702973

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