\begin{equation*}
\begin{split}
& \frac{\left(\dfrac{2}{5}\right)^{-2} \:.\: (32)^{\frac{3}{5}} - \left(\dfrac{1}{8}\right)^{-\frac{4}{3}}}{\left(\dfrac{8}{125}\right)^{-\frac{1}{3}} \:.\: \left(\dfrac{9}{4}\right)^{-\frac{1}{2}} \:.\: (27)^{\frac{2}{3}} + \left(\dfrac{1}{3}\right)^{-2}} \\\\
& \frac{\left(\dfrac{5}{2}\right)^{2} \:.\: (2^5)^{\frac{3}{5}} - \left(2^{-3}\right)^{-\frac{4}{3}}}{\left(\dfrac{5^3}{2^3}\right)^{\frac{1}{3}} \:.\: \left(\dfrac{2^2}{3^2}\right)^{\frac{1}{2}} \:.\: (3^3)^{\frac{2}{3}} + \left(3^{-1}\right)^{-2}} \\\\
& \frac{\dfrac{5^2}{2^2} \:.\: 2^3 - 2^4}{\dfrac{5}{2} \:.\: \dfrac{2}{3} \:.\: 3^2 + 3^2} \\\\
& \frac{50 - 16}{15 + 9} \\\\
& \frac{34}{24} \\\\
& \frac{17}{12}
\end{split}
\end{equation*}
