write scheme program

A hyperoperation is a repeated sequence of arithmetic operations where, a hyperoperation of rank n is a repeated sequence of hyperoperations of rank n-1.

For example, Addition is a hyperoperation of rank 1. Multiplication is a hyper operation of rank 2. Multiplication can be expressed as a sequence of additions: a * b = a + (a + (a + ... + a)) (b times) Exponentiation is a hyper operation of rank 3: a^b = a * (a * (a * ... * a)) (b times) Tetration is the 4th rank hyper operation: ab = a^(a(a...a)) This pattern continues with pentation, hexation, septation, etc...

[6 marks] Write a function called (hyper x) that takes a hyperoperator x as argument and returns the next higher rank hyperoperator. For example:

(define my-mult (hyper +)) (my-mult 3 4)  12 (define my-exp (hyper my-mult)) (my-exp 2 4)  16 (define my-tetra (hyper my-exp)) (my-tetra 2 4)  65536