314. Divide $\sqrt[3]{216}$ by $\sqrt[4]{16}$.
314. Rudolf's Solution:

![](https://cdn.mathpix.com/cropped/2024_05_21_926f0bb262c8f9569516g-148.jpg?height=68&width=1148&top_left_y=1211&top_left_x=457)

$$
\begin{aligned}
& =\sqrt[12]{531441}=\sqrt[6]{729}=\sqrt[3]{27}=3
\end{aligned}
$$

Indeed: $\quad \sqrt[3]{216}: \sqrt[4]{16}=6: 2=3$