(1)原式= 
(2) \(\frac{{5{x^{ - \frac{2}{3}}}{y^{\frac{1}{2}}}}}{{\left( { - \frac{1}{4}{x^{ - 1}}{y^{\frac{1}{2}}}} \right)\left( { - \frac{5}{6}{x^{\frac{1}{3}}}{y^{ - \frac{1}{6}}}} \right)}} = 5 \times ( - 4) \times \left( { - \frac{6}{5}} \right) \times {x^{\left( { - \frac{2}{3}} \right) - ( - 1) - \frac{1}{3}}} \times {y^{\frac{1}{2} - \frac{1}{2} - ( - \frac{1}{6})}}\)
\( = 24{x^0}{y^{\frac{1}{6}}} = 24{y^{\frac{1}{6}}}.\)