Question

transforme as operações em apenasum radical. Apenas a letra J

Answer 1

$\boxed{\frac{ \sqrt[3]{3^2}. \sqrt[4]{3^3} }{ \sqrt[5]{3^4} }=\frac{3^{\frac{2}{3}}.3^{\frac{3}{4}}}{3^{\frac{4}{5}}}=3^{\frac{2}{3}+\frac{3}{4}-\frac{4}{5}}=3^{\frac{37}{60}}= \sqrt[60]{3^{37}} }$

Answer 2

$\sqrt[3]{3^2}\cdot\sqrt[4]{3^3}=\sqrt[12]{3^{8}\cdot3^{9}}=\sqrt[12]{3^{17}}$.

$\dfrac{\sqrt[3]{3^2}\cdot\sqrt[4]{3^3}}{\sqrt[5]{3^4}}=\dfrac{\sqrt[12]{3^{17}}}{\sqrt[5]{3^4}}=\sqrt[60]{\dfrac{3^{85}}{3^{48}}}$

$\dfrac{\sqrt[3]{3^2}\cdot\sqrt[4]{3^3}}{\sqrt[5]{3^4}}=\sqrt[60]{3^{85-48}}=\sqrt[60]{3^{37}}$