Rational (Fractional) Exponents
Now let's practice with a few numerical expressions.
A little more challenging
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Now let's practice with a few variable expressions.
This is a little more challenging because the numerator is larger than the denominator.


write as a radical expression

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expand

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group triples and you still have x^{2}
under the radical
An easy way to remember the rule is to choose an example that you know for sure. For example. This way you can remember that the denominator is the number that goes with the radical and the numerator goes with the number/variable under the radical.
Reminder: the exponent rules do not change when you are multiplying, dividing or raising a power to a power just because the exponent is a fraction.
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