[tex]\begin{gathered} \frac{3^{\frac{11}{5}}}{3^{\frac{-9}{5}}} \\ \text{But from the law of indices} \\ \frac{a^b}{a^c}=a^{b-c} \\ \frac{3^{\frac{11}{5}}}{3^{\frac{-9}{5}}}=3^{\frac{11}{5}-(-\frac{9}{5}_{})}=3^{\frac{20}{5}} \\ \frac{3^{\frac{11}{5}}}{3^{\frac{-9}{5}}}=3^4 \\ \frac{3^{\frac{11}{5}}}{3^{\frac{-9}{5}}}=3\times3\times3\times3 \\ \frac{3^{\frac{11}{5}}}{3^{\frac{-9}{5}}}=81 \end{gathered}[/tex]
The correct option is B: 81
