Question

1. A) (C#) Write a function integerPower(base, exponent) that returns the value of

                                        base ^exponent

For example, integerPower( 3, 4 ) = 3 * 3 * 3 * 3. Assume that exponent is a positive, nonzero integer and that base is an integer. The function integerPower should use for or while to control the calculation. Do not use built-in functions.

B) Write a C# console program that calls the function in A) to calculate and display the value of

1+2+4+8+…+2¹⁰.

Answer 1

using System;

public class IntegerPower
{
    
    public static int integerPower(int b, int exponent)
    {
        if (exponent == 0)
            return 1;

        return b * integerPower(b, exponent - 1);
    }
    
    public static void Main(string[] args)
    {
        int total = 0;
        for (int i = 0; i <= 10; i++)
        {
            total += integerPower(2, i);
        }

        Console.WriteLine(total);
    }
}