# 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).

### 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

Don’t miss the chance of Java programs examples with output pdf free download as it is very essential for all beginners to experienced programmers for cracking the interviews.

Related Java Programs: