Question

Develop and write a procedure make-^ which inputs a single parameter n and which returns a procedure

raiseToNthPower. The procedure raiseToNthPower must itself input a single parameter b, and must

return b^n. You may assume that n is an integer.

please, use scheme language

Answer 1

Solution:

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;Function to be used in raiseToNthPower().

(define (myabs x)

(cond ((< x 0) (* x -1))

        ((x >= 0) (* x 1))))

;Define the function to compute x ^ y.

(define (raiseToNthPower x y)

        ;Condition to check the value of x.

        (cond ((< x 0) (* (cond ((odd? (myabs y)) -1)

                                 (else 1))

                          (raiseToNthPower (myabs x) y)))

              ((< y 0) (/ 1 (raiseToNthPower x (myabs y))))

              ((= y 0) 1)

              ((> y 0) (* x (raiseToNthPower x (- y 1))))))

;Call the function by passing the values.

(raiseToNthPower 2 3)