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 a^{m} * a^{n} where value of a, m, and n are given by using Java programming language.

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

The formula of a^{m} * a^{n} is given below.

a^{m} * a^{n} = a^{m+n}

^{ }Now we will convert this into a valid Java expression.

Let x= a^{m} * a^{n}

= a^{m+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 a^{m} * a^{n}

- 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^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 a
^{m}* a^{n}. - 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 a
^{m}* a^{n}. - 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 a
^{m}* a^{n}. - 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

Interested in programming and want to excel in it by choosing the short ways. Then, practicing with the available Java Program list is mandatory.

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