Question

necesito que me digan paso a paso porfavor doy corona

Answer 1

Respuesta:

$(\frac{2}{5})^{5}=\frac{32}{3125}$

Explicación paso a paso:

$(\frac{4}{3} )^{3} / (-\frac{2}{5} )^{-2}*(\frac{3}{10} )^{3}\\\\(\frac{4}{3} )^{3} / (-\frac{5}{2} )^{2}*(\frac{3}{10} )^{3}\\\\(\frac{4^{3} }{3^{3} } ) / (\frac{(-5)^{2} }{2^{2} } )*(\frac{3^{3} }{10^{3} } )\\\\(\frac{4^{3} }{3^{3} } ) *(\frac{2^{2} }{(-5)^{2} } )*(\frac{3^{3} }{10^{3} } )\\\\(\frac{(2^{2} )^{3} }{3^{3} } ) *(\frac{2^{2} }{(5)^{2} } )*(\frac{3^{3} }{(5*2)^{3} } )\\\\(\frac{2^{6} }{3^{3} } ) *(\frac{2^{2} }{(5)^{2} } )*(\frac{3^{3} }{5^{3}*2^{3} } } )$

$\frac{2^{6}*2^{2}*3^{3}}{3^{3}*5^{2}*5^{3}*2^{3}}\\\\\frac{2^{6+2}*3^{3}}{3^{3}*5^{2+3}*2^{3}}\\\\\frac{2^{8}*3^{3}}{3^{3}*5^{5}*2^{3}}\\\\\frac{2^{8-3}*3^{3-3}}{5^{5}}\\\\\frac{2^{5}*3^{0}}{5^{5}}\\\\\frac{2^{5}*1}{5^{5}}\\\\\frac{2^{5}}{5^{5}}\\\\(\frac{2}{5})^{5}\\\\\frac{32}{3125}$