Answer
$\frac{36}{w^{6}}$
Work Step by Step
The given expression is
$=(-\frac{w^3}{6})^{-2}$
Use $(\frac{a}{b})^n=\frac{a^n}{b^n}$.
$=\frac{(-w^3)^{-2}}{6^{-2}}$
Use $a^{-n}=\frac{1}{a^n}$.
$=\frac{6^{2}}{(-w^3)^{2}}$
Use $(a^m)^n=a^{m\cdot n}$.
$=\frac{6^{2}}{w^{3\cdot 2}}$
Use $6^2=36$.
$=\frac{36}{w^{6}}$.
