Question: In one source code file, please help with writing a C program using a recursive function. i) Write a recursive function power(base, exponent) that when
In one source code file, please help with writing a C program using a recursive function.
i) 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.
Hint: The recursion step would use the relationship
base^exponent = base*base^exponent-1
and the terminating condition occurs when exponent is an integer greater than or equal to 1.
and the terminating condition occurs when exponent is equal to 1 because: base^1 = base
ii) Recursive Great Common Divisor: The greatest common divisor of integers x and y is the largest integer that evenly divides both x and y. Write a recursive function gcd that returns the greatest common divisor of x and y. The gcd of x and y is defined recursively as follows: if y is equal to 0, then gcd(x,y) is x; otherwise gcd(x,y) is gcd(y, x%y), where % is the remainder operator.
iii) Find the minimum value in an array: Write a recursive function recursiveMinimum that takes an integer array and the array size as arguments and returns the smallest element of the array. The function should stop processing and return when it receives an array of one element.
iv) Write int main(void) function as a driver program and call the above three functions result with sample Input/Output
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