Radicals can be eliminated by raising them to the same power as the index of the radical. Therefore, the inverse function to a radical function is typically a power function. The radical function $f(x)=\sqrt[n]{x}$ has the inverse function $f^{\text{-}1}(x)=x^n.$ This can be proven by showing Consider I. Next, consider II. It has been shown that $\sqrt[n]{x}$ and $x^n$ are inverses of each other. This is true for all values of $n.$