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Python program to find the power of a number using recursion

Finding power of a number: Here, we are going to implement a python program to find the power of a given number using recursion in Python. By Anuj Singh Last updated : April 09, 2023

Given the base x and the power y and we have to find the x to the power y using recursion in Python.

Power of a number using recursion

By using recursion – We will be multiplying a number (initially with value 1) by the number input by the user (of which we have to find the value of y^th power) for y times. For multiplying it by y times, we need to call our function y times. Since we know the number of times function will execute, so we are using for recursion.

Python code to find the power of a number using recursion

# Python code to find the power of a number using recursion 

# defining the function to find the power
# function accpets base (x) and the power (y)
# and, return x to the power y
def pow(x, y):
    if y == 1:
        return x
    else:
        return pow(x, y-1) * x

# main code
if __name__ == '__main__':
    x = 2 #base
    y = 3  #power
    result = pow(x, y)
    print(x," to the power ", y, " is: ", result)

    x = 10 #base
    y = 3  #power
    result = pow(x, y)
    print(x," to the power ", y, " is: ", result)
    
    x = 12 #base
    y = 5  #power
    result = pow(x, y)
    print(x," to the power ", y, " is: ", result)

Output

2  to the power  3  is:  8
10  to the power  3  is:  1000
12  to the power  5  is:  248832

To understand the above program, you should have the basic knowledge of the following Python topics: