Write A Python Program To Input Two Integers X And N Compute Xn

Introduction

In this blog post, we will write a Python program to input two integers x and n and compute x^n. This is a simple but important programming task, and it is a good way to learn how to use loops and recursion in Python.

Python Program

Here is a Python program to input two integers x and n and compute x^n:

Python

def compute_power(x, n):
  """Computes the power of x to the power of n.

  Args:
    x: A float or integer.
    n: A non-negative integer.

  Returns:
    A float or integer, the power of x to the power of n.
  """

  if n == 0:
    return 1
  elif n == 1:
    return x
  else:
    return x * compute_power(x, n - 1)


# Example usage:

x = 2
n = 3

power = compute_power(x, n)

print(power)

Output:

8

How the program works

The compute_power() function takes two arguments: x and n. The function first checks if n is equal to 0. If it is, the function returns 1. Otherwise, the function returns x multiplied by the result of calling the compute_power() function with x and n - 1 as arguments.

The example usage at the end of the program shows how to use the compute_power() function to compute 2^3. The function returns 8, which is the correct answer.

Recursion

The compute_power() function uses recursion to compute x^n. Recursion is a programming technique where a function calls itself. This can be useful for solving problems that can be broken down into smaller and smaller subproblems.

In the case of the compute_power() function, the subproblem is computing x^(n - 1). The function calls itself to solve this subproblem, and then multiplies the result by x to get the final answer.

Applications

The compute_power() function can be used in a variety of applications. For example, it can be used to calculate compound interest, compute factorials, and solve polynomial equations.

Conclusion

In this blog post, we wrote a Python program to input two integers x and n and compute x^n. We also discussed how the program works and its applications.

Additional topics

Here are some additional topics that you may want to consider when writing a Python program to input two integers x and n and compute x^n:

• Error handling: What should happen if the user enters invalid input? For example, what if the user enters a negative value for n?
• Performance: How can you improve the performance of the program? For example, you could use a lookup table to store the results of common power calculations.
• Parallelization: Can you parallelize the program to improve its performance? For example, you could divide the work of computing x^n into multiple tasks and run them in parallel.

Conclusion

Writing a Python program to input two integers x and n and compute x^n is a good way to learn how to use loops and recursion in Python. The program can be used in a variety of applications, and there are a number of ways to improve its performance and scalability.