Write a C program to input a number from user and find power of given number using recursion. How to find power of a number using recursive function in C programming. Logic to find power of a number using recursion in C programming.

**Example**

**Input**

Input base number: 5 Input power: 2

**Output**

2 ^ 5 = 25

## Required knowledge

Basic C programming, If else, Functions, Recursion

Must know -

## Declare recursive function to find power

Above is the mathematical definition of recursive function to find power of a number. The function accepts two numbers i.e. `x` and `y` and calculates `x ^ y`

.

Let us now transform the above mathematical function in C programming context.

- First give a meaningful name to our recursive function say
`pow()`

. - The function must accept two numbers i.e. base and exponent and calculate its power. Hence, take two parameters for base and exponent, say
`pow(double base, int exponent);`

. - Finally the function should return
`base ^ exponent`

i.e. a`double`

type value.

The final function declaration to calculate power is - `double pow(double base, int exponent);`

.

## Logic to calculate power of a number using recursion

After declaring `pow()`

function its time to define logic to find power recursively. There can be three cases while calculating power of a number.

- If exponent is 0, then power is
`1`. This is the**base condition**of our recursive function. - If exponent is negative, then power is
`1 / (x ^ -y)`

. Which uses recursive call to`pow()`

function for computing the value of`(x ^ -1)`

i.e.`1 / pow(base, -expo)`

. - If exponent is positive, then calculate power normally using
`x ^ y`

. Computing`x ^ y`

also makes a recursive call i.e.`base * pow(base, expo - 1)`

Let us combine all three conditions in a single recursive function.

## Program to find power of a number using recursion

```
/**
* C program to find power of a number using recursion
*/
#include <stdio.h>
/* Power function declaration */
double pow(double base, int expo);
int main()
{
double base, power;
int expo;
/* Input base and exponent from user */
printf("Enter base: ");
scanf("%lf", &base);
printf("Enter exponent: ");
scanf("%d", &expo);
// Call pow function
power = pow(base, expo);
printf("%.2lf ^ %d = %f", base, expo, power);
return 0;
}
/**
* Calculate power of any number.
* Returns base ^ expo
*/
double pow(double base, int expo)
{
/* Base condition */
if(expo == 0)
return 1;
else if(expo > 0)
return base * pow(base, expo - 1);
else
return 1 / pow(base, -expo);
}
```

Output

Enter base: 2 Enter exponent: 5 2.00 ^ 5 = 32.000000

Happy coding ðŸ˜‰

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