Resposta:
[tex]\frac{\sqrt[3]{4}}{3}[/tex]
Explicação passo a passo:
[tex]\frac{2}{\sqrt[3]{2} }[/tex] = [tex]\frac{2}{\sqrt[3]{2} }[/tex] · [tex]\frac{\sqrt[3]{2^{2}}}{\sqrt[3]{2^{2}}}[/tex]
[tex]\frac{2}{\sqrt[3]{2} }[/tex] = [tex]\frac{2 . \sqrt[3]{2^{2}} }{\sqrt[3]{2^{1} . 2^{2}}}[/tex]
[tex]\frac{2}{\sqrt[3]{2} }[/tex] = [tex]\frac{2\sqrt[3]{2^{2}} }{\sqrt[3]{2^{3}} }[/tex]
[tex]\frac{2}{\sqrt[3]{2} }[/tex] = [tex]\frac{2\sqrt[3]{2^{2}} }{2}[/tex]
[tex]\frac{2}{\sqrt[3]{2} }[/tex] = [tex]\sqrt[3]{2^{2}}[/tex]
4 . [tex](\frac{1}{3})[/tex] = [tex]\frac{4}{3}[/tex]
[tex]2^{-2}[/tex] = [tex](\frac{1}{2} )^{2}[/tex]
[tex]2^{-2}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{2}{\sqrt[3]{2} }[/tex] . 4 . [tex](\frac{1}{3})[/tex] . [tex]2^{-2}[/tex] = [tex]\sqrt[3]{2^{2}}[/tex] · [tex]\frac{4}{3}[/tex] · [tex]\frac{1}{4}[/tex]
[tex]\frac{2}{\sqrt[3]{2} }[/tex] . 4 . [tex](\frac{1}{3})[/tex] . [tex]2^{-2}[/tex] = [tex]\sqrt[3]{2^{2}}[/tex] · [tex]\frac{1}{3}[/tex]
[tex]\frac{2}{\sqrt[3]{2} }[/tex] . 4 . [tex](\frac{1}{3})[/tex] . [tex]2^{-2}[/tex] = [tex]\frac{\sqrt[3]{4}}{3}[/tex]
Valor procurado: [tex]\frac{\sqrt[3]{4}}{3}[/tex]
