Please answer question 3, bolded one. Other questions are for reference

1. Given the following C code to compute the power ab.

double power(double a, int b) {

int I;

double temp = 1.0;

for (i = 1; I <= b; i++) temp *= a;

return temp;

}Rewrite the power function above in Scheme code.

2. The binomial coefficient is defined as follows for n 0 and 0 k n:

C(n,k) = n! / (nek)! k!

Given the fact that: C(n,0) = 1, C(n,n) = 1,

C(n,k) = C(n 1, k 1) + C(n 1, k)

write a function to compute C(n, k) in Scheme code

3. Write a function to extract the nth element of a list in Scheme code.