[tex]\begin{gathered} (27x^{-18}y^{-6})^{-\frac{4}{3}} \\ 27^{-\frac{4}{3}}x^{(-18)(-\frac{4}{3})}y^{(-6)(-\frac{4}{3})} \\ 27^{-\frac{4}{3}}x^{24}y^8 \\ \\ \frac{x^{24}y^8}{27^{\frac{4}{3}}} \\ \\ The\text{ simplification is }\frac{x^{24}y^8}{27^{\frac{4}{3}}} \end{gathered}[/tex]
