Answer
See explanations.
Work Step by Step
Using the definition and exponential properties, we can rewrite the expression in several forms:
$a^{\frac{m}{n}}=(a^{\frac{1}{n}})^m=(\sqrt[n] a)^m=\sqrt[n] {a^m}=(a^m)^{\frac{1}{n}}$,
Thus the original term can mean "first raise $a$ to the $m$th power, then take the $n$th root", or vice versa.