Okay, here we have this:
Considering the provided expression, we are going to rewrite it in simplest form, so we obtain the following:
[tex]\begin{gathered} (-125x^{-6})^{\frac{1}{3}} \\ =-\mleft(125x^{-6}\mright)^{\frac{1}{3}} \\ =-125^{\frac{1}{3}}\mleft(x^{-6}\mright)^{\frac{1}{3}} \\ =-5\mleft(x^{-6}\mright)^{\frac{1}{3}} \\ =-5x^{-6\cdot\frac{1}{3}} \\ =-5x^{\mleft\{-2\mright\}} \\ =-5\cdot\frac{1}{x^2} \\ =-\frac{5}{x^2} \end{gathered}[/tex]
