freeCodeCamp/guide/english/mathematics/fractional-exponents/index.md

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2018-10-12 19:37:13 +00:00
---
title: Fractional Exponents
---
## Fractional Exponents
Fractional Exponents are used to raise a number to an exponent that is not a whole number. If you have worked with exponents and square roots before, you have already done fractional exponents before. For example, the square root of 3 is the same as saying 3 to the 1/2.
<img src="http://www.mathwarehouse.com/algebra/exponents/fraction-exponents/images/square-root-as-fraction.gif">
Knowing that any whole number can be represented as a fractionwith a denomenator of one, raising anything to n/1 is the same thing as raising that number to n. Putting the two together, we can write the general formula of fractonal exponents as:
<img src="http://www.mathwarehouse.com/algebra/exponents/fraction-exponents/images/formula-numerator-not-one.gif">
**Note: It doesn't matter which you do first, the numerator or denomenator**
Here is an example:
<img src="http://www.mathwarehouse.com/algebra/exponents/fraction-exponents/images/formula-numerator-not-one2.gif">
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#### More Information:
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http://www.mathwarehouse.com/algebra/exponents/fraction-exponents/formula-examples-simplify-exponents-with-fractions.php
https://www.mathsisfun.com/algebra/exponent-fractional.html