\(4.\left(\dfrac{5}{4}\right)^2+25.\left[\left(\dfrac{2}{3}\right)^2:\left(\dfrac{5}{4}\right)^3\right]:\left(\dfrac{3}{5}\right)^3\)
= \(4.\dfrac{25}{16}+25.\left[\dfrac{4}{9}:\dfrac{125}{64}\right]:\dfrac{27}{125}\)
= \(\dfrac{25}{4}+25.\dfrac{256}{1125}:\dfrac{27}{125}\)
= \(\dfrac{25}{4}+\dfrac{256}{45}:\dfrac{27}{125}\)
= \(\dfrac{25}{4}+\dfrac{6400}{243}\)
= \(\dfrac{31675}{972}\)
\(4.\left(\dfrac{5}{4}\right)^2+25.\left[\left(\dfrac{2}{3}\right)^2:\left(\dfrac{5}{4}\right)^3\right]:\left(\dfrac{3}{5}\right)^3\)
\(=4.\dfrac{25}{16}+25.\left(\dfrac{4}{9}:1\dfrac{61}{64}\right):\dfrac{27}{125}\)
\(=\dfrac{25}{4}+25.\dfrac{256}{1125}:\dfrac{27}{125}\)
\(=\dfrac{25}{4}+\dfrac{256}{45}:\dfrac{27}{125}\)
\(=\dfrac{25}{4}+\dfrac{6400}{243}\)
\(=32\dfrac{571}{972}=\dfrac{31675}{972}\)
