Java Program to Compute (a/b)x where Value of a, b and x are Given

Java Program to Compute (a/b)^x where Value of a, b and x are Given

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In the previous article we have discussed Java Program to Compute (ab)x where Value of a, b and x are Given

In this program we are going to see how to compute (a/b)x where value of a, b, and x are given.

Java Program to Compute (a/b)x  where Value of a, b, and x are Given

The formula of (a/b)x  is given below.

(a/b)x  = ax / bx

 Now we will convert this into a valid Java expression.

Let x = (a/b)x

=  ax / bx

Example:

Suppose a=2, m=2, and n=2

Then,
(a/b)^x = a^x / b^x
= 2^2 / 2^2
= 4 / 4
= 1

Now let’s see different ways to compute (a/b)x.

Method-1: Java Program to Compute (a/b)^x where Value of a, b and x are Given By Using pow() Function and Static Input Value

Approach:

  • Declare and initialize three integer variables say a, b and x.
  • By using the formula compute (a/b)x .
  • Print the result.

Program: 

import java.lang.Math;

public class Main
{
    public static void main(String[] args)
    {
        //declare the first integer variable with a integer value
        int a= 4;
        System.out.println("a= " +a);
        //declare the second integer variable with a integer value
        int b= 4;
        System.out.println("b= "+b);
        //declare the third integer variable with a integer value
        int x= 2;
        System.out.println("x= "+x);
        //declare another double variable and assigned the formulated value to it.
        double res= (Math.pow(a,x) / Math.pow(b,x));
        System.out.println("(a/b)^x  = "+res);
    }
}

Output:

a= 4
b= 4
x= 2
(a/b)^x  = 1.0

Method-2: Java Program to Compute (a/b)^x where Value of a, b and x are Given By Using pow() Function and User Input Value

Approach:

  • Declare three integer variables say a, b and x.
  • Prompt the user to enter the values to the corresponding variables by using Scanner class.
  • Then By using the formula compute (a/b)x .
  • Print the result.

Program:

import java.lang.Math;
import java.util.Scanner;

class Main
{
    public static void main(String[] args)
    {
        //create object of scanner class.
        Scanner sc=new Scanner(System.in);
        System.out.print("a= ");
        //Take the first input from the user.
        int a= sc.nextInt();
        System.out.print("b= ");
        //Take the second input from the user.
        int b= sc.nextInt();
        System.out.print("x= ");
        //Take the third input from the user.
        int x= sc.nextInt();
        //declare another integer variable and assigned the formulated value to it.
        //declare another double variable and assigned the formulated value to it.
        double res= (Math.pow(a,x) / Math.pow(b,x));
        System.out.println("(a/b)^x  = "+res);
    }
}

Output:

a= 9
b= 6
x= 3
(a/b)^x  = 3.375

Method-3: Java Program to Compute (a/b)^x where Value of a, b and x are Given By Using User Defined Method

Approach:

  • Declare three integer variables say a, b and x.
  • Prompt the user to enter the values to the corresponding variables by using Scanner class.
  • Then call a user defined method say computeValue() and pass a, b and x as parameter.
  • Then inside method by using the formula compute (a/b)x .
  • Print the result.

Program:

import java.util.Scanner;
class Main
{
    public static void main(String[] args)
    {
        //create object of scanner class.
        Scanner sc=new Scanner(System.in);
        System.out.print("a= ");
        //Take the first input from the user.
        int a= sc.nextInt();
        System.out.print("b= ");
        //Take the second input from the user.
        int b= sc.nextInt();
        System.out.print("x= ");
        //Take the third input from the user.
        int x= sc.nextInt();
        //call the funtion
        computeValue(a,b,x);
    }
    
    //define the method
    public static void computeValue(int a, int b,int x)
    {
        //declare another double variable and assigned the formulated value to it.
        double res= (Math.pow(a,x) / Math.pow(b,x));
        System.out.println("(a/b)^x  = "+res);
    }

}

Output:

a= 12
b= 5
x= 4
(a/b)^x  = 33.1776

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