#### Answer

$\dfrac{a}{\sqrt[3]{w}}$

#### Work Step by Step

Using the laws of exponents, the given expression, $
aw^{-1/3}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{a}{w^{1/3}}
.\end{array}
Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the expression, $
\dfrac{a}{w^{1/3}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{a}{\sqrt[3]{w^1}}
\\\\=
\dfrac{a}{\sqrt[3]{w}}
.\end{array}