In the previous article, we have discussed Python Program to Compute the Area and Perimeter of Pentagon

**Factorial:**

The product of all positive integers less than or equal to n is the factorial of a non-negative integer n, denoted by n! in mathematics:

**n! = n * (n – 1) *(n – 2) * . . . . . . . . . . 3 * 2 * 1.**

5 != 5* 4 * 3 * 2 *1= 120

Given the values of x, n and the task is to calculate the value of x^n/n!

**Examples:**

**Example1:**

**Input:**

Given Number = 3 Given x value = 6

**Output:**

The value of x^n/n! with the given n,x { 3 6 } values= 36.0

**Example2:**

**Input:**

Given Number = 5 Given x value = 8

**Output:**

The value of x^n/n! with the given n,x { 5 8 } values= 273.06666666666666

## Program to Compute x^n/n! in Python

Below are the ways to calculate the value of x^n/n! :

### Method #1: Using For Loop (Static Input)

**Approach:**

- Give the number as static input and store it in a variable.
- Give the value of x as static input and store it in another variable.
- Take a variable, initialize it with the value ‘1’, and store it in another variable say ‘
**factorl**‘. - Loop from 1 to the given number using the for loop.
- Inside the loop, calculate the factorial of a given number by multiplying the value of the above variable “
**factorl**” with the iterator value. - Store it in the same variable ‘
**factorl**‘. - Calculate the value of x^n/n! using the pow() function and store it in another variable.
- Print the value ofÂ
**x^n/n!**for the given n, x values. - The Exit of the Program.

**Below is the implementation:**

# Give the number as static input and store it in a variable. gvn_n_val = 3 # Give the value of x as static input and store it in another variable. gvn_x_val = 6 # Take a variable, initialize it with the value '1', and store it in another variable say # 'factorl'. factorl = 1 # Loop from 1 to the given number using the for loop. for itr in range(1, gvn_n_val+1): # Inside the loop, calculate the factorial of a given number by multiplying the value of # the above variable "factorl" with the iterator value. # Store it in the same variable 'factorl'. factorl *= itr # Calculate the value of x^n/n! using the pow() function and store it in another variable. fnl_reslt = pow(gvn_x_val, gvn_n_val)/factorl # Print the value ofÂ x^n/n! for the given n, x values. print("The value of x^n/n! with the given n,x {", gvn_n_val, gvn_x_val, "} values=", fnl_reslt)

**Output:**

The value of x^n/n! with the given n,x { 3 6 } values= 36.0

### Method #2: Using For loop (User Input)

**Approach:**

- Give the number as user input using the int(input()) function and store it in a variable.
- Give the value of x as user input using the int(input()) function and store it in another variable.
- Take a variable, initialize it with the value ‘1’, and store it in another variable say ‘
**factorl**‘. - Loop from 1 to the given number using the for loop.
- Inside the loop, calculate the factorial of a given number by multiplying the value of the above variable “
**factorl**” with the iterator value. - Store it in the same variable ‘
**factorl**‘. - Calculate the value of x^n/n! using the pow() function and store it in another variable.
- Print the value ofÂ
**x^n/n!**for the given n, x values. - The Exit of the Program.

**Below is the implementation:**

# Give the number as user input using the int(input()) function and # store it in a variable. gvn_n_val = int(input("Enter some random Number= ")) # Give the value of x as user input using the int(input()) function and # store it in another variable. gvn_x_val = int(input("Enter some random Number= ")) # Take a variable, initialize it with the value '1', and store it in another variable say # 'factorl'. factorl = 1 # Loop from 1 to the given number using the for loop. for itr in range(1, gvn_n_val+1): # Inside the loop, calculate the factorial of a given number by multiplying the value of # the above variable "factorl" with the iterator value. # Store it in the same variable 'factorl'. factorl *= itr # Calculate the value of x^n/n! using the pow() function and store it in another variable. fnl_reslt = pow(gvn_x_val, gvn_n_val)/factorl # Print the value ofÂ x^n/n! for the given n, x values. print("The value of x^n/n! with the given n,x {", gvn_n_val, gvn_x_val, "} values=", fnl_reslt)

**Output:**

Enter some random Number= 2 Enter some random Number= 10 The value of x^n/n! with the given n,x { 2 10 } values= 50.0

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