Question 2: \((vii)\) \(\quad\) \(( 64)^{-\frac{2}{3}} \div ( 9)^{-\frac{3}{2}} \)
Solution:
\[\begin{align*}
&=(64)^{-\frac{2}{3}} \div ( 9)^{-\frac{3}{2}} \\
&=(4)^{3\times-\frac{2}{3}} \div ( 3)^{2\times -\frac{3}{2}}\\
&=4^{-2} \div 3^{-3}\\
&=\frac{1}{4^{2}} \times 3^{3}\\
&=\frac{27}{16} \\
\end{align*}\]