Java Program to Compute a^(1/x) where Value of a and x is Given

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

In this program we are going to see how to compute a^(1/x) where value of a and x is given by using Java programming language.

Java Program to Compute a^(1/x) where Value of a and x is Given

The formula of a^(1/x) is given below.

a^(1/x) = ^x√a

Now we will convert this into a valid Java expression.

Let x= a^(1/x)

Example:

Suppose a=27 and x=3, Then

a^(1/x)
= 27^(1/3)
= 3

Now let’s see different ways to compute a^(1/x).

By Using Static Input Value and Pow() Function
By Using User Input Value and Pow() Function
By Using User Defined Method

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

Approach:

Declare and initialize two double variables say a and x.
By using the formula compute a^(1/x).
Print the result.

Program:

import java.lang.Math;
class Main
{
    public static void main(String[] args)
    {
        //declare the first double variable with a value
        double a= 125;
        System.out.println("a= " +a);
        //declare the second double variable with a value
        double x= 5;
        System.out.println("x= " +x);
        //declare another double variable and assigned the formulated value to it.
        double res= Math.pow(a,1/x);	
        System.out.println("a^(1/x)= "+Math.round(res));
    }
}

Output:

a= 125.0
x= 5.0
a^(1/x)= 3

Method-2: Java Program to Compute a^(1/x) where Value of a and x is Given By Using User Input Value and Pow() Function

Approach:

Declare two double variables say a and x.
Prompt the user to enter the values to the corresponding variables by using Scanner class.
Then By using the formula compute a^(1/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= ");
        //Declare an double variable and prompt the user to enter corresponding value to it.
        double a= sc.nextDouble();
        System.out.print("x= ");
        //Declare another double variable and prompt the user to enter corresponding value to it.
        double x= sc.nextDouble ();
        //declare another double variable and assigned the formulated value to it.
        double res= Math.pow(a,1/x);	
        System.out.println("a^(1/x)= "+Math.round(res));
    }
}

Output:

a= 27
x= 3
a^(1/x)= 3

Method-3: Java Program to Compute a^(1/x) where Value of a and x is Given By Using User Defined Method

Approach:

Declare two double variables say a 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 and x as parameter.
Then inside method by using the formula compute a^(1/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= ");
        //Declare an double variable and prompt the user to enter corresponding value to it.
        double a= sc.nextDouble();
        System.out.print("x= ");
        //Declare another double variable and prompt the user to enter corresponding value to it.
        double x= sc.nextDouble ();
        //call the function
        computeValue(a,x);
    }
    
    //define the method
    public static void computeValue(double a, double x)
    {
        //declare another double variable and assigned the formulated value to it.
        double res= Math.pow(a,1/x);	
        System.out.println("a^(1/x)= "+Math.round(res));
    }
}

Output:

a= 1728
x= 3
a^(1/x)= 12

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