Step by Step solution about How to resolve the algorithm Exponentiation order step by step in the C programming language

The provided C code demonstrates the use of the pow() function from the math.h library to calculate exponential operations:

1. Header Files:

   • The code includes the necessary header files:
     • <stdio.h> for input and output operations.
     • <math.h> for mathematical functions, specifically the pow() function.

2. main() Function:

   • This is the entry point of the program.

3. Exponential Calculations:

   • The program performs two calculations using the pow() function:
     • First Calculation:

       printf("(5 ^ 3) ^ 2 = %.0f", pow(pow(5, 3), 2));

       • This line calculates the value of (5^3)^2. It first raises 5 to the power of 3 (5^3 = 125) and then raises that result to the power of 2 ((5^3)^2 = 15625). The result is printed as an integer with no decimal places.
     • Second Calculation:

       printf("\n5 ^ (3 ^ 2) = %.0f", pow(5, pow(3, 2)));

       • This line calculates the value of 5^(3^2). It first raises 3 to the power of 2 (3^2 = 9) and then raises 5 to that power (5^(3^2) = 1953125). The result is again printed as an integer.

4. Output:

   • The program prints the results of both calculations:
     • (5 ^ 3) ^ 2 = 15625
     • 5 ^ (3 ^ 2) = 1953125

#include<stdio.h>
#include<math.h>

int main()
{
    printf("(5 ^ 3) ^ 2 = %.0f",pow(pow(5,3),2));
    printf("\n5 ^ (3 ^ 2) = %.0f",pow(5,pow(3,2)));
	
    return 0;
}