Question

Qual o resultado de:
$\sqrt{3 {}^{4} } . \sqrt[3]{3 {}^{2} }$

Answer 1

Olá,

$\sqrt{ {3}^{4} } . \sqrt[3]{ {3}^{2} }$

$= {3}^{ \frac{4}{2} } . {3}^{ \frac{2}{3} }$

$= {3}^{2} . {3}^{ \frac{2}{3} }$

$= {3}^{2 + \frac{2}{3} }$

$= {3}^{ \frac{6}{3} + \frac{2}{3} }$

$= {3}^{ \frac{8}{3} }$