Question

Simplifique a expressão:
2/3 . 8^2/3 - 2/3 .8^ -2/3

Answer 1

$\frac{2}{3} . \sqrt[3]{ 8^{2} } - \frac{2}{3} . \sqrt[3]{ 8^{-2} } =$
$\frac{2}{3} . \sqrt[3]{64} - \frac{2}{3} \sqrt[3]{ \frac{1}{64} } = \frac{2}{3} . 4 - \frac{2}{3} . \frac{1}{4} =$
$\frac{8}{3} - \frac{2}{12} = \frac{32 - 2}{12} = \frac{30}{12} = \frac{15}{6}$