Question

Упростите выражение:

Answer 1

$(\frac{4x^{-5} }{3y^{-2} } )^{-3}*(16x^{-6} y^{-4} )^{2} = (\frac{3y^{2} }{4x^{5} } )^{-3}*(\frac{16}{x^{6} y^{4}} )^{2} = (\frac{3x^{5} }{4y^{2} } )^{3}*(\frac{16}{x^{6} y^{4}} )^{2} =  \frac{27x^{15} }{64y^{6} } *\frac{256}{x^{12} y^{8}}  = \frac{27x^{3} }{64y^{14} } *\frac{256}{1}  = \frac{64*256x^{3} }{27y^{14} } = \frac{108x^{3}} {y^{14}}$