Write this program in Scala.

Define the hyper-exponentiation function:

hyperExp(n: Int) = exp(exp(... (exp(0)) ...)) // n-times

Your definition should only use recursion, exp2, add, mul, inc, dec, and isZero.

Notes:

This will probably cause a stack overflow each time it's called.

hyperExp(0) = 1

hyperExp(1) = exp(0) = 2

hyperExp(2) = exp(exp(0)) = exp(2) = 4

hyperExp(3) = exp(exp(exp(0))) = exp(4) = 16

etc.