$\begin{array}{l} \sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{a\cdot b} \\ \sqrt[n]{a}:\sqrt[n]{b}=\sqrt[n]{\frac{a}{b}} \\ \sqrt[n]{\sqrt[m]{a}}=\sqrt[{mn}]{a} \\ \\ \textbf{Gegeben:} \\ {a=61 \qquad b=37 \qquad m=4 \qquad n=8}\\ \\ \textbf{Rechnung:} \\ \sqrt[8]{61} \cdot \sqrt[8]{37} = \sqrt[8]{61\cdot 37}= \sqrt[8]{2,26\cdot 10^{3}}=2,63 \\ \sqrt[8]{61}:\sqrt[8]{37}=\sqrt[8]{\frac{61}{37}} = \sqrt[8]{1\frac{24}{37}}=1,06 \\ \sqrt[8]{\sqrt[4]{61}}=\sqrt[{4\cdot 8}]{61}= \sqrt[32]{61}=1,14 \\ \end{array}$