The following recursive function will print the nth power of 2.

Answer 1

To create a recursive function that prints the nth power of 2, we can define it as follows in Python:

def power_of_two(n):
    # Base case
    if n == 0:
        return 1  # 2^0 is 1
    else:
        return 2 * power_of_two(n - 1)  # Recursive case

# Example usage
n = 3  # Change this value to test for other powers
result = power_of_two(n)
print(f"2^{n} = {result}")

Explanation:

1. Base case: When n is 0, the function returns 1 because \(2^0 = 1\).
2. Recursive case: For any other value of n, the function calls itself with n - 1 and multiplies the result by 2. This essentially mimics the mathematical definition of exponents.
3. Example usage: You can call the function with any integer n to get the nth power of 2 and print the result.

Adjust the value of n in the example usage to test the function for different values of n.