Răspuns:
[tex]E(x)=x*\sqrt[3]{x^{2}*\sqrt{x} } =\sqrt[3]{x^{3}*x^{2}*\sqrt{x} } =\sqrt[3]{x^{5}*\sqrt{x} } =\sqrt[3]{\sqrt{(x^{5})^{2}*x} }=\sqrt[6]{x^{11}} \\\\a=\sqrt[11]{8},~atunci~E(a)=\sqrt[6]{(\sqrt[11]{8})^{11}} =\sqrt[6]{8}=\sqrt[6]{2^{3}}=\sqrt{2}.[/tex]
Explicație pas cu pas: