Write a recursive method named power that accepts two integers representing a base and an exponent and returns the base raised to that exponent. For example, the call of power(3, 4) should return 34 or 81 . If the exponent passed is negative, throw an IllegalArgumentException. Do not use loops or auxiliary data structures; solve the problem recursively. Also do not use the provided Java pow method in your solution.

The method in java is as follows:

   public static int power(int num, int exp){

       if(exp == 0){            return 1;        }

       if(exp < 0){

           throw new IllegalArgumentException("Positive exponents only");        }

       else{            return (num*power(num, exp-1));        }

   }

Where

base

exponent

Explanation:

This defines the method

   public static int power(int num, int exp){

This represents the base case, where the exponent is 0

       if(exp == 0){

If yes, the function returns 1

           return 1;        }

If exponent is negative, this throws illegal argument exception

       if(exp < 0){

           throw new IllegalArgumentException("Positive exponents only");        }

If exponents is positive, this calls the function recursively

       else{            return (num*power(num, exp-1));        }

   }

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