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
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