\(=\left|\dfrac{3}{2}-2\right|\cdot\dfrac{1}{3}-\dfrac{4}{5}\cdot\dfrac{1}{3}+\dfrac{2^5\cdot5^3+2^3\cdot5^3}{5^3\left(3\cdot2^4-5\right)}\cdot\dfrac{1}{3}\\ =\dfrac{1}{3}\left[\dfrac{1}{2}-\dfrac{4}{5}+\dfrac{5^3\cdot2^3\left(2^2+1\right)}{5^3\cdot43}\right]=\dfrac{1}{3}\left(-\dfrac{3}{10}+\dfrac{2^3\cdot5}{43}\right)\\ =\dfrac{1}{3}\left(-\dfrac{3}{10}+\dfrac{40}{43}\right)=\dfrac{1}{3}\cdot\dfrac{271}{430}=\dfrac{271}{1290}\)