Question

simplificando a expressão :

Answer 1

$\sqrt{\dfrac{x^{\frac{3}{2}}}{ \sqrt[3]{x^4}}}=\sqrt{\dfrac{x^{\frac{3}{2}}}{x^{\frac{4}{3}}}}=\sqrt{x^{\frac{3}{2}-\frac{4}{3}}}=\sqrt{x^{\frac{9-8}{6}}}=\\\\ =\sqrt{x^{\frac{1}{6}}}=(x^{\frac{1}{6}})^{\frac{1}{2}}=x^{\frac{1}{12}}=\sqrt[12]{x}\\\\ \mathrm{Resposta}\ \to\ \mathbf{\sqrt[12]{x}}$