Fractional Exponents
The following diagram shows how to evaluate fractional exponents. Scroll down the page for more examples and solutions.
| Free Exponent Games Online | ||
|---|---|---|
| Multiply Exponents | Divide Exponents | Power of a Power |
| Power of a Product | Negative Exponents | Fractional Exponents |
How to evaluate fractional exponents?
In this lesson, we will consider xn, where n is a fraction and x is an integer.
Let us first consider fractional exponents of the form: 
In general, we define:
A number x is the nth root of a number y if xn = y.
Example:
Evaluate the following:
Solution:
We will now consider fractional exponents of the form: 
In general, we define:
Example:
Evaluate the following:
Solution:
The following video gives more examples of fractional exponents
Evaluating Numbers Raised to Fractional Exponents
| Check out our most popular games! | ||
|---|---|---|
 Fraction Concoction |
 Fact Family Game |
 Number Bond Garden |
 Online Addition Subtraction Game |
 Penguin Solitaire |
 Sawayama Solitaire |
 Ark Solitaire |
 Eldritch Invasion |
 Shenzhen Solitaire |
Check out more Solitaire games here.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.