Question

ME AJUDEM POR FAVOR O resultado da expressão:​

Answer 1

$\sf \displaystyle \left(\frac{2}{5}\right)^5\cdot \left(\frac{2}{5}\right)\div \left(\frac{2}{5}\right)^6\\\\\\\sf =\frac{2^5}{5^5}\cdot \frac{\frac{2}{5}}{\left(\frac{2}{5}\right)^6}\\\\\\\sf =\frac{3125}{32}\cdot \frac{2^5}{5^5}\\\\\\\sf {Multiplique\:frações}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\\\\\\sf =\frac{2^5\cdot \:3125}{5^5\cdot \:32}\\\\\\\sf =\frac{2^5\cdot \:3125}{5^5\cdot \:2^5}\\\\\\\sf {Elimine\:o\:fator\:comum:}\:2^5\\\\\\\sf$

$\sf \displaystyle =\frac{3125}{5^5}\\\\\\\sf =\frac{3125}{3125}\\\\\\\sf{Aplique\:a\:regra}\:\frac{a}{a}=1\\\\\\\sf \to \boxed{\sf \red{\sf =1}}$