C Exercises: Calculate x raised to the power n

Last update on August 07 2025 12:49:58 (UTC/GMT +8 hours)

4. Power Function Variants

Write a C program to calculate x raised to the power n (xⁿ).

Example:
Input:
x = 7.0
n = 2

x = 6.2
n = 3
Output:
Result:(x^n) : 49.000000
Result:(x^n) : 238.328000

Visual Presentation:

$C Exercises: Calculate x raised to the power n$

Sample Solution:

C Code:

#include <stdio.h>
#include <limits.h>

// Function to calculate power of x raised to the power n (x^n)
double powxn(double x, int n) {
    double k;

    // Base case: if n is 0, return 1
    if (n == 0)
        return 1;

    // Recursive calculation of power using divide-and-conquer approach
    k = powxn(x * x, n / 2); // Recursively compute x^(n/2)

    // If n is odd, multiply k by x once more
    if (n % 2)
        k = k * x;

    return k; // Return the computed value of x^n
}

int main(void)
{
    double x = 7.0;
    int n = 2;

    // Test case 1
    printf("\nx = %f, y = %d  ", x, n);
    printf("\nResult: (x^n) : %f ", powxn(x, n));

    x = 6.2;
    n = 3;

    // Test case 2
    printf("\n\nx = %f, y = %d  ", x, n);
    printf("\nResult: (x^n) : %f ", powxn(x, n));

    return 0;
}

Sample Output:

x = 7.000000, y = 2  
Result:(x^n) : 49.000000 

x = 6.200000, y = 3  
Result:(x^n) : 238.328000

Flowchart:

$Flowchart: Calculate x raised to the power n.$

For more Practice: Solve these Related Problems:

Write a C program to calculate x raised to n using recursion with exponentiation by squaring.
Write a C program to compute x^n iteratively while handling negative exponents correctly.
Write a C program to implement a power function without using the standard math library, using only loops and multiplication.
Write a C program to compute x^n using recursion and tail-call optimization to reduce stack usage.

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