5. Write a recursive function, power, that takes as parameters two integers x and y such that x is nonzero and returns xy. You can use the following recursive definition:
If y ≥ 0, power(x,y) = 1 if y=0
power(x,y) = x if y=1
power(x,y) = x * power(x, y-1) if y>1
If y <0, power(x,y) = 1/power(x, -y)
Write a program to test your function
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Expert's answer
2011-11-10T09:55:18-0500
#include <iostream> using namespace std;
float power(int, int);
int main() { int x = 0, y = 0; cout << "x = "; cin >> x; cout << "y = "; cin >> y; cout << x << "^" << y << " = " << power(x, y) << endl; return 0; }
float power(int x, int y) { if (y == 0) return 1; else if (y == 1) return x; else if (y > 1) return (x * power(x, y - 1)); else if (y < 0) return (1 / power(x, -y)); }
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