From Indices to Radicals: Understanding Fractional Powers

Rewrite each of the following in radical form and hence evaluate the results without using a calculator.

1. \({{81}^{\frac{1}{4}}}\)
2. \({{8}^{-\frac{1}{3}}}\)

In general, if \(m\) and \(n\) are positive integers,

if \(a>0\).