Question

Выполните действия:
1)${(125^{ frac{2}{5}} * 4^{ frac{1}{5}} * 2^{2})} frac{5}{6} ^}$

Answer 1

$125^{ frac{2}{5}* frac{5}{6}} * 4^{ frac{1}{5}* frac{5}{6} } * 4^{ frac{5}{6} } = 125^{ frac{1}{3} } * 4^{ frac{1}{6}} * 4^{ frac{5}{6} } = \ \ sqrt[3]{125} * 4^{ frac{1}{6} + frac{5}{6} } =5*4=20$