Answer:
A. 81
Explanation:
The given expression is:
[tex]3^{\frac{11}{5}}\div3^{-\frac{9}{5}}[/tex]
Note that:
[tex]a^b\div a^c=a^{b-c}[/tex]
Applying the rule of indices above to the given expression
[tex]\begin{gathered} 3^{\frac{11}{5}}\div3^{-\frac{9}{5}} \\ \\ 3^{\frac{11}{5}-(-\frac{9}{5})} \\ \\ 3^{\frac{11}{5}+\frac{9}{5}} \\ \\ 3^{\frac{20}{5}} \\ \\ =3^4 \\ \\ =81 \end{gathered}[/tex]
