Answer
$-\frac{\sqrt[3]{6c}}{5}$.
Work Step by Step
The given expression is
$=\sqrt[3]{\frac{6c}{-125}}$
Use quotient property of cube roots.
$=\frac{\sqrt[3]{6c}}{\sqrt[3]{-125}}$
Use $-125=(-5)^3$.
$=\frac{\sqrt[3]{6c}}{\sqrt[3]{(-5)^3}}$
Simplify.
$=\frac{\sqrt[3]{6c}}{-5}$
$=-\frac{\sqrt[3]{6c}}{5}$.