has to be in C

Create a library that contains the following math functions: Summation Exponentiation Tetration Test your functions with the following data as arguments: For Summation, [459 10 25 80 125 78 55 73]; use any array, For Exponentiation, 4'; use two integers. For tetration, 513(read as 5 to the superpower of 3); use two integers. Note you may need to use a very large data type for this function Hardcode the test data, DO NOT prompt for user input. Simply print the results of your functions. Your functions must be recursive. Hint: For each of your functions, use a iteration loop to create an iterative version of your function first, then compare the result to the recursive version you create NOTE: You may have your collection of functions in the main source file