3 divided by 3 to it's fifth root

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Question from Annie, a student:

How do I transform the equation 3 divided by 3 to it's fifth root to simple radical form (getting the radical out of the denominator)?

Hi Annie,

The numerator is and the denominator is .

Now you need to use one of the laws of exponents. They are

a^b a^c = a^{b + c}
a^b a^c = a^{b - c} as long as a ≠ 0, and
(a^b)^c = a^bc

Penny

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