Question

Ajudas Campeonissimos !

Answer 1

0,666...=$\frac{6}{9}= \frac{2}{3}$
20%=$\frac{20}{100}= \frac{1}{5}$
$2^{4}=16$
$\sqrt[3]{-1000}=-10$
$\sqrt{2,56}= \sqrt{ \frac{256}{100} }= \frac{16}{10}= \frac{8}{5}$

Agora,organizamos:

$[ (\frac{2}{3})^{-2}+(\frac{1}{5})^{-1}-16.(-10)]\div \frac{8}{5}$
$[( \frac{3}{2})^{2}+5+160]\div \frac{8}{5}$
$[\frac{9}{4}+165]\div \frac{8}{5}$
$\frac{669}{4}\div \frac{8}{5}$
$\frac{669}{4}. \frac{5}{8}= \frac{3345}{32}$(Alternativa C)