Question

Se A=raiz cúbica de -8 + 16^1/4 - (1/2)^-2 + 8^4/3 ,pode se afirmar que:

A=24
A=22
A=12
A=16

Obrigado!

Answer 1

$\sqrt[3]{-8}+16^{ \frac{1}{4} } - ( \frac{1}{2}^{-2} ) + 8^{ \frac{4}{3} }$

Reescrevendo:

$\sqrt[3]{-8}+ \sqrt[4]{16} - (2^{2}) + \sqrt[3]{8^{4}}$

Logo:

$\sqrt[3]{-2^{3}}+ \sqrt[4]{2^{4}} - (4) + \sqrt[3]{8^{3}.8} \\ \\ \sqrt[3]{-2^{3}}+ \sqrt[4]{2^{4}} - (4) + \sqrt[3]{8^{3}.2^3}$

-2 + 2 - 4 + 8 . 2
-2 + 2 - 4 + 16 = 0 + 12 = 12

RESPOSTA: A = 12