Just below is a fraction exponent calculator. In this tool, raise a base to the power of a fraction, n/d or numerator over denominator.

Also try our regular exponent calculator.

## Fraction Exponents Calculator

**Table of Contents**show ▼

## Raising a Number to a Fraction

When you raise a base number to a power, you multiply the base by itself power number of times. However, since a fraction isn't (generally) a whole number, the result is a bit trickier.

Raising a base to a fraction means to raise a base number to the numerator power, then take the denominator root of that number. The formula for raising to a fractional exponent is:

Note this identity also shows how to convert between exponents and roots. For example, taking the square root of the number is the same as raising it to the 1/2.

As usual though, it's easiest to walk through an exponent calculation to get a feel for the operation.

### Example Fractional Exponent Calculation

Let's say you need to raise the number 729 to the 2/3 power.

## How to Use the Fraction Exponents Tool

This one can get tricky – that's why it's useful to have the tool.

In the **Base** box, enter the number which you will raise to the fraction. Then in the **Fraction** boxes below for **numerator** and **denominator**, enter your fraction.

Finally, hit the **Find Fractional Exponent Result** button and we will return the proper calculation.