👤

Answer :

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex]{3}^{\frac{2}{3}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

  • [tex] \sqrt[9]{ {3}^{6} } [/tex]

  • [tex] \sqrt[9]{ (3 {}^{6}) }[/tex]

  • [tex]{(3 {}^{6} ) }^{ \frac{1}{9} } [/tex]

  • [tex]3 {}^{ \frac{6}{9} } [/tex]

  • [tex] {3}^{ \frac{2}{3} } [/tex]

The Correct option is 1st one ~