Answer
$\color{blue}{-\dfrac{\sqrt[3]{50p}}{5p}}$
Work Step by Step
Rationalize the denominator by multiplying $25p$ to both the numerator and the denominator of the radicand to obtain:
$=-\sqrt[3]{\dfrac{2(25p)}{5p^2(25p)}}
\\=-\sqrt[3]{\dfrac{50p}{125p^3}}
\\=-\sqrt[3]{\dfrac{50p}{5^3p^3}}$
Bring out the cube root of the denominator to obtain:
$=\color{blue}{-\dfrac{\sqrt[3]{50p}}{5p}}$