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cannot identify the problem with my c program


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You have plenty of both semantic and syntactic errors:

  1. You've forgot to #include <stdio.h> for necessary printf(), scanf(), etc.

  2. option = 3 assigns the option variable to integer 3, whereas your work was to compare through the relational operator ==. So, change all the expressions from x = N to x == N.

  3. You must use & to point to the address when using scanf() for integers.

  4. Replace the factorial counter with this:

    int temp = 1;
    
    while (temp++ < n)
        p *= temp;
    
  5. ans = base ^ exp, here ^ is called exclusive OR, it's not the sign of mathematical power. Replace this with:

    double ans = pow(base, exp);
    printf("%d ^ %d is %.2lf
    ", base, exp, ans);
    

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