# Java Program to Compute a^m*a^n where Value of a, m and n are Given

In the previous article we have discussed about Java Program to Compute a4+a2+1 where Value of a and b are Given

In this program we are going to see how to compute am * an  where value of a, m, and n are given by using Java programming language.

## Java Program to Compute am * an where Value of a, m, and n are Given

The formula of am * an  is given below.

am * an  = am+n

Now we will convert this into a valid Java expression.

Let x= am * an

=  am+n

Example:

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

a^m * a^n
= (a)^m+n
= (2)^2+2
= 2^4
= 16

Now let’s see different ways to compute am * an

### Method-1: Java Program to Compute a^m*a^n where Value of a, m and n are Given By Using Static Input Value and Pow() Function

Approach:

• Declare and initialize three integer variables say a, m, and n.
• By using the formula compute am * an.
• Print the result.

Program:

import java.lang.Math;
public class Main
{
public static void main(String[] args)
{
//declare the first integer variable with an integer value
int a= 4;
System.out.println("a= " +a);
//declare the second integer variable with an integer value
int m= 4;
System.out.println("m= "+m);
//declare the third integer variable with an integer value
int n= 2;
System.out.println("n= "+n);
//declare another integer variable and assigned the formulated value to it.
int res= (int)Math.pow(a,m+n);
System.out.println("am * an = "+res);
}
}

Output:

a= 4
m= 4
n= 2
am * an = 4096

### Method-2: Java Program to Compute a^m*a^n where Value of a, m and n are Given By Using User Input and Pow() Function

Approach:

• Declare three integer variables say a, m, and n.
• Prompt the user to enter the values to the corresponding variables by using Scanner class.
• Then By using the formula compute am * an.
• 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("m= ");
//Take the second input from the user.
int m= sc.nextInt();
System.out.print("n= ");
//Take the third input from the user.
int n= sc.nextInt();
//declare another integer variable and assigned the formulated value to it.
int res= (int)Math.pow(a,m+n);
System.out.println("am * an = "+res);
}
}

Output:

a= 4
m= 5
n= 6
am * an = 4194304

### Method-3: Java Program to Compute a^m*a^n where Value of a, m and n are Given By Using User Defined Method Function

Approach:

• Declare three integer variables say a, m, and n.
• 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, m and n as parameter.
• Then inside method by using the formula compute am * an.
• 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("m= ");
//Take the second input from the user.
int m= sc.nextInt();
System.out.print("n= ");
//Take the third input from the user.
int n= sc.nextInt();
//call the funtion
computeValue(a,m,n);
}

//define the method
public static void computeValue(int a, int m,int n)
{
//declare another integer variable and assigned the formulated value to it.
int res= (int)Math.pow(a,m+n);
System.out.println("am * an = "+res);
}
}

Output:

a= 3
m= 4
n= 5
am * an = 19683

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