Question 2: \((i)\) \(\quad\)\(\large{\left(\frac{81}{16}\right)^{-\frac{3}{4}}} \)
Solution:
\[\begin{align*}
\left(\frac{81}{16}\right)^{-\frac{3}{4}}& = \left(\frac{16}{81}\right)^{\frac{3}{4}}\\& = \left(\frac{2^4}{3^4}\right)^{\frac{3}{4}}\\
&= \frac{2^{4\times \frac{3}{4}}}{3^{4 \times \frac{3}{4}}}\\
&= \frac{2^{3}}{3^{3}}\\
&= \frac{8}{27}\\
\end{align*}\]