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**Power of a number :**

A number’s power (or exponent) aa represents the number of times xx must be multiplied by itself. It is written as a tiny number above and to the right of the base number.

**Recursion:**

If you’re familiar with Python functions, you’ll know that it’s typical for one function to call another. It is also feasible for a function in Python to call itself! A recursive function calls itself, and the process of using a recursive function is known as recursion.

Although it may appear strange for a function to call itself, many sorts of programming challenges are better stated recursively.

Given a number N and the power of P. The aim is to develop a Python program that uses recursion to find the power of a number with the given base.

**Examples:**

**Example1:**

**Input:**

Enter some random base =8 Enter some random exponent value = 3

**Output:**

8 ^ 3 = 512

**Example2:**

**Input:**

Enter some random base =17 Enter some random exponent value = 3

**Output:**

17 ^ 3 = 4913

## Program to Find the Power of a Number Using Recursion in Python

Below are the ways to find the power of a number using the recursive approach in Python.

### 1)Using Recursion(Static Input)

**Approach:**

- Give the exponent as static input and store it in a variable.
- Give the base as static input and store it in another variable.
- To find the power of a number, pass the given exponent and base as arguments to the recursive function.
- Give the base condition in the instance where the exponent argument is 1.
- If the exponent is not equal to 1, return the base multiplied by the function with the parameter’s base and exponent minus 1.
- Until the exponent value is 1, the function calls itself.
- The power of the specified base number should be printed using the print() function.
- Exit of Program

**Below is the implementation:**

# function which calculates the power of the number recursively def powerRecursion(given_base, given_exp): # Give the base condition in the instance where the exponent argument is 1. if(given_exp == 1): return(given_base) # If the exponent is not equal to 1, return the base multiplied by the function # with the parameter's base and exponent minus 1. if(given_exp != 1): # Until the exponent value is 1, the function calls itself. return(given_base*powerRecursion(given_base, given_exp-1)) # Give the base as static input and store it in variable. given_base = 4 # Enter some random exponent as static input and store it in a variable given_exp = 11 # passing the given base an exponent as arguments to the recursive function powerRecursion print(given_base, "^", given_exp, ' = ', powerRecursion(given_base, given_exp))

**Output:**

4 ^ 11 = 4194304

### 2)Using Recursion(User Input)

**Approach:**

- Give the base as user input using the int(input()) function and store it in a variable.
- Give some exponent as user input using the int(input()) function and store it in a variable
- To find the power of a number, pass the given exponent and base as arguments to the recursive function.
- Give the base condition in the instance where the exponent argument is 1.
- If the exponent is not equal to 1, return the base multiplied by the function with the parameter’s base and exponent minus 1.
- Until the exponent value is 1, the function calls itself.
- The power of the specified base number should be printed using the print() function.
- Exit of Program

**Below is the implementation:**

# function which calculates the power of the number recursively def powerRecursion(given_base, given_exp): # Give the base condition in the instance where the exponent argument is 1. if(given_exp == 1): return(given_base) # If the exponent is not equal to 1, return the base multiplied by the function # with the parameter's base and exponent minus 1. if(given_exp != 1): # Until the exponent value is 1, the function calls itself. return(given_base*powerRecursion(given_base, given_exp-1)) # Give the base as user input using int(input()) function and store it in a variable. given_base = int(input("Enter some random base =")) # Give some exponent as user input using int(input()) function and store it in a variable given_exp = int(input("Enter some random exponent value = ")) # passing the given base an exponent as arguments to the recursive function powerRecursion print(given_base, "^", given_exp,' = ',powerRecursion(given_base, given_exp))

**Output:**

Enter some random base =8 Enter some random exponent value = 3 8 ^ 3 = 512

**Explanation:**

- The base and exponential values must be entered by the user.
- To find the power of a number, the numbers are supplied as arguments to a recursive function.
- The base condition is that the base number is returned if the exponential power is equal to 1.
- If the exponential power is not equal to one, the base number multiplied by the power function is called
- recursively, with the parameters being the base and power minus one.
- The power calculated will be printed.

**Related Programs**:

- Python Program to Check Whether a String is a Palindrome or not Using Recursion
- Python Program to Find the Product of two Numbers Using Recursion
- Python Program to Find if a Number is Prime or Not Prime Using Recursion
- Python Program to Find the Fibonacci Series Using Recursion
- Python Program to Find the Power of a Number Using Recursion
- Python Program to Flatten a Nested List using Recursion
- Python Program to Find the Length of a List Using Recursion