Respuesta :

Given data:

The given expression is 3^(11/5)÷3^(-9/5).

The given expression can be written as,

[tex]\begin{gathered} \frac{3^{\frac{11}{5}}}{3^{-\frac{9}{5}}}=3^{\frac{11}{5}}\times3^{\frac{9}{5}} \\ =3^{\frac{(11+9)}{5}} \\ =3^4 \\ =81 \end{gathered}[/tex]

Thus, the value of the given expression is 81, so option (D) is correct.