Question

represente estas potências usando radicais (3/7)^2/3

Answer 1

$Boa \: \: noite!!! \\ \\ ( \frac{3}{7} ) ^{ \frac{2}{3} } = \sqrt[3]{( { \frac{3}{7} })^{2} } = \sqrt[3]{ \frac{9}{49} } = \frac{ \sqrt[3]{9} }{ \sqrt[3]{49} } = \\ \frac{ \sqrt[3]{9 \times {49}^{2} } }{49} = \frac{ \sqrt[3]{9 \times 2401} }{49} = \frac{7 \sqrt[3]{9 \times 7} }{49} = \\ \frac{ \sqrt[3]{9 \times 7} }{7} = \frac{ \sqrt[3]{63} }{7} \\ \\ Espero \: \: ter \: \: ajudado! :)$

Answer 2

${(\frac{3}{7})}^{ \frac{2}{3} } = \sqrt[3]{{( \frac{3}{7})}^{2} } = \sqrt[3]{ \frac{ {3}^{2} }{ {7}^{2} } } = \sqrt[3]{ \frac{9}{49} }$