Question

решите.................

Answer 1

$8^{ frac{2}{3} }-( frac{1}{16} )^{-0.75}+( frac{1}{4} )^{1.5}= ( sqrt[3]{8} )^2-(16)^{ frac{3}{4} }+( frac{1}{4} )^{ frac{3}{2} }= \ =2^2- (sqrt[4]{16})^3+( sqrt{ frac{1}{4} } )^3= 4- 2^3+( frac{1}{2} )^3=4- 8+ frac{1}{8} =- 4+ frac{1}{8} =-3 frac{7}{8}$

$( frac{2}{5} )^{-3}cdot(6 frac{1}{4})^{- frac{3}{2} } = ( frac{2}{5} )^{-3}cdot( frac{25}{4})^{- frac{3}{2} } = ( frac{5}{2} )^{3}cdot( frac{4}{25})^{frac{3}{2} } = \ =( frac{5}{2} )^{3}cdot( sqrt{ frac{4}{25}})^3 =( frac{5}{2} )^{3}cdot( frac{2}{5})^3 =1$