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

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

The formula of a^m * aⁿ is given below.

a^m * aⁿ = a^m+n

Now we will convert this into a valid Java expression.

Let x= a^m * aⁿ

= 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 * aⁿ

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 * 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 a^m * 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 a^m * 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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