Write a java program to find x to the power n (i.e. x^n). Take x and n from the user. You need to return the answer.
Calculating power is a fundamental operation in mathematics and computer programming. Whether you are working on a scientific project or a programming task, you will need to calculate power at some point. In this article, we will explore the concept of power and provide a solution for calculating it using a simple program.
What is Power?
Power is a mathematical operation that involves raising a number to a certain exponent or power. The power of a number represents how many times the number is multiplied by itself. For example, 2 raised to the power of 3 (written as 2^3) is equal to 2 x 2 x 2, which equals 8.
The formula for calculating power is:
x^n = x × x × x × … × x (n times)
where x is the base and n is the exponent.
Solution for Calculating Power
Now that we understand what power is, let's write a simple program to calculate it. We will take the base and exponent values from the user and return the result.
Here's the code:
java code
import java.util.Scanner;
public class Power {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
System.out.print("Enter the base: ");
int x = input.nextInt();
System.out.print("Enter the exponent: ");
int n = input.nextInt();
int result = 1;
for(int i = 1; i <= n; i++) {
result *= x;
}
System.out.println(x + "^" + n + " = " + result);
}
}
Let's break down the code:
We define a function called
power
that takes two parameters,x
(base) andn
(exponent). This function recursively calculates the power using the formula we discussed earlier.In the
power
function, we have three conditions:
If
n
is equal to 0, we return 1 (any number raised to the power of 0 is 1).If
n
is even, we calculatex
raised to the power ofn/2
, and then multiply it by itself. This is becausex^n
is equal to(x^(n/2))^2
. We use recursion to calculatex^(n/2)
.If
n
is odd, we calculatex
raised to the power ofn-1
, and then multiply it by itself. This is becausex^n
is equal tox * x^(n-1)
. We use recursion to calculatex^(n-1)
.
We take input from the user for
x
andn
.We call the
power
function withx
andn
as parameters to calculate the power.We print the result.
Conclusion
Calculating power is a basic operation in mathematics and computer programming. In this article, we provided a solution for calculating power using a simple program in Python. This program can be used in various applications where power calculations are required.