Solve {[(5/3+5/4*2):2/3-(4+1/2+frac{3}{5})*frac{2}{3}]^frac{5{3}}-frac{3}{4}}*[(2-frac{1}{2})*frac{1}{4}]

$$\{ [ ( \frac { 5 } { 3 } + \frac { 5 } { 4 } \cdot 2 ) : \frac { 2 } { 3 } - ( 4 + \frac { 1 } { 2 } + \frac { 3 } { 5 } ) \cdot \frac { 2 } { 3 } ] ^ { \frac { 5 } { 3 } } - \frac { 3 } { 4 } \} \cdot [ ( 2 - \frac { 1 } { 2 } ) \cdot \frac { 1 } { 4 } ]$$

Evaluate

$$\frac{171\sqrt[3]{20}\times 57^{\frac{2}{3}}}{3200}-\frac{9}{32}\approx 1.867104938$$

Factor

$$\frac{9 {(19 \sqrt[3]{20} \cdot 57 ^ {\frac{2}{3}} - 100)}}{3200} = 1.8671049379402194$$