Question 7: Simplify the following:
\((i)\) \(\quad\) \(\large{\sqrt[5]{\frac{x^{15} y^{35}}{z^{20}}}}\)
Solution:
\[
\begin{align*}
&=\sqrt[5]{\frac{x^{15} y^{35}}{z^{20}}}\\
&=\frac{x^{\frac{15}{5}} \times y^{\frac{35}{5}}}{z^{\frac{20}{5}}}\\
&=\frac{x^{3} y^{7}}{z^{4}}\\
\end{align*}
\]