Question

alguém pode me explicar como faz,

Answer 1

a )

$\sqrt[8]{2^4}~\to~2^{ \frac{4}{8} } ~\to~2^{ \frac{1}{2} }\to~ \sqrt{2}$

b )

$\sqrt[9]{27} ~\to~ \sqrt[9]{3^3} ~\to~3^{ \frac{3}{9} }~\to~3^{ \frac{1}{3} }~\to~ \sqrt[3]{3}$

c )

$\boxed{ \sqrt[10]{x^{2a+2} }~\to~ \sqrt[10]{x^{2a}x^2} ~\to~x^{ \frac{2a}{10} }x^{ \frac{2}{10} }~\to~x^{ \frac{a}{5} }x^{ \frac{1}{5} }~\to~x^{ \frac{a+1}{5} }~\to~ \sqrt[5]{x^{a+1}} }$

d )

$\sqrt[8]{5^{4x}} ~\to~5^{ \frac{4x}{8} }~\to~5^{ \frac{x}{4} }~\to~ \sqrt[4]{5^x}$

e )

$\sqrt[6]{625}~\to~ \sqrt[6]{5^4}$