Java Program to Calculate the Power of a Number
What is Power of a Number ?
In mathematics, the power of a number refers to the number of times that number is multiplied by itself. It is represented by an exponent, which is a small number written to the right and above the base number. For example, if we have the base number 2 raised to the power of 3, it is written as 2³, which means 2 multiplied by itself 3 times:
2³ = 2 x 2 x 2 = 8
How to Calculate the Power of a Number ?
To calculate the power of a number, you simply need to multiply the base number by itself the number of times indicated by the exponent. Here’s a general formula for calculating the power of a number:
a^n = a × a × a × … (n times)
where “a” is the base number and “n” is the exponent.
For example, let’s say we want to calculate 2 raised to the power of 4. Using the formula above, we get:
2^4 = 2 × 2 × 2 × 2 = 16
Similarly, if we want to calculate 5 raised to the power of 3, we get:
5^3 = 5 × 5 × 5 = 125
So, to calculate the power of a number, all you need to do is multiply the base number by itself the number of times indicated by the exponent.
Steps to calculate the Power of a Number :
- Start by initializing the base number and exponent.
- Set a variable “result” to 1.
- Use a loop to multiply the base number by itself for the number of times indicated by the exponent. For example, if the exponent is 4, multiply the base number by itself four times.
- For each iteration of the loop, multiply the base number by the previous value of “result”.
- After the loop has finished, the value of “result” will be the answer to the exponentiation problem.
- Display the result to the user.
Pseudo Code for the above algorithm :
set base to the desired base number set exponent to the desired exponent set result to 1 for i from 1 to exponent do set result to result times base display result
Ways to Find the power of a Number in Java :
Syntax :
double result = Math.pow(2, 4); // calculates 2 raised to the power of 4
Syntax :
int base = 2;
int exponent = 4;
int result = 1;
for(int i = 0; i < exponent; i++) {
result *= base;
}
Syntax :
public static int power(int base, int exponent) {
if(exponent == 0) {
return 1;
} else {
return base * power(base, exponent - 1);
}
}
// calling the power() method
int result = power(2, 4); // calculates 2 raised to the power of 4
Example 1 :
public class Main {
public static void main(String[] args) {
double result = Math.pow(2, 4); // calculates 2 raised to the power of 4
System.out.println("2 raised to the power of 4 is: " + result);
}
}
Output :
2 raised to the power of 4 is: 16.0
Example 2 :
public class Main {
public static void main(String[] args) {
int base = 2;
int exponent = 4;
int result = 1;
for(int i = 0; i < exponent; i++) {
result *= base;
}
System.out.println("2 raised to the power of 4 is: " + result);
}
}
Output :
2 raised to the power of 4 is: 16
Example 3 :
public class Main {
public static void main(String[] args) {
int base = 2;
int exponent = 4;
int result = power(base, exponent);
System.out.println("2 raised to the power of 4 is: " + result);
}
public static int power(int base, int exponent) {
if(exponent == 0) {
return 1;
} else {
return base * power(base, exponent - 1);
}
}
}
Output :
2 raised to the power of 4 is: 16
The power method is a recursive method that takes two parameters: the base number and the exponent. If the exponent is equal to 0, the method returns 1. Otherwise, the method calculates the power of the base number raised to the exponent by recursively calling itself with the base number and the exponent minus 1 as arguments.
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