Answer
The required equation is $x=k\frac{\sqrt[3]{z}}{y}$ and value of $y$ is $k\frac{\sqrt[3]{z}}{x}$.
Work Step by Step
Since, the value of $x$ varies directly as $\ \sqrt[3]{z}$ and inversely as $\ y$.
$x=k\frac{\sqrt[3]{z}}{y}$
Where $k$ is a constant.
Now, solve the equation for $y$.
$y=k\frac{\sqrt[3]{z}}{x}$
