Question

2/3 * 8 ^ (2/3) - 2/3 * 8 ^ (- 2/3)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf \left(\dfrac{2}{3}\:.\:(8)^{2/3}\right) - \left(\dfrac{2}{3}\:.\:(8)^{-2/3}\right)$

$\sf \left(\dfrac{2}{3}\:.\:\sqrt[3]{\sf64}\right) - \left(\dfrac{2}{3}\:.\:\dfrac{1}{\sqrt[\sf 3]{\sf 64}}\right)$

$\sf \left(\dfrac{2}{3}\:.\:4\right) - \left(\dfrac{2}{3}\:.\:\dfrac{1}{4}\right)$

$\sf \left(\dfrac{8}{3}\right) - \left(\dfrac{1}{6}\right)$

$\sf \dfrac{16 - 1}{6}$

$\boxed{\sf \left(\dfrac{2}{3}\:.\:(8)^{2/3}\right) - \left(\dfrac{2}{3}\:.\:(8)^{-2/3}\right) = \dfrac{5}{2}}$