Hi everyone and welcome to MathSux! In this post we are going to break down and solve rational exponents. The words may sound like a mouthful, but all rational exponents are, are fractions as exponents. So instead of having x raised to the second power, such as x^{2}, we might have x raised to the one-half power, such as x^{(1/2)}. Let’s try an example taken straight from the NYS Regents below. Also, if you have any questions don’t hesitate to comment below or check out the video posted here. Happy calculating! 🙂

**How do I answer this question?**

The questions want us to simplify the rational exponents into something we can understand.

**How do we do this?**

We are going to convert the insane looking rational exponents into radical and solve/see if we can simplify further.

**Reminder!**

A radical can be converted into a rational exponent and vice versa. Not sure what that means? It’s ok! Take a gander at the examples below and look for a pattern:

Think you’re ready to take on our original problem? #Letsdothis

## Example:

## Practice:

## Solutions:

Still got questions? Don’t hesitate to comment below for anything that still isn’t clear! Looking to review how to solve radical equations? Check out this post here! 🙂

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Reblogged this on MathSux^2.