Answer
$-2np^2\sqrt {m^3n^2}$
Work Step by Step
Rewrite radicands to separate out factors such that we can take their fifth roots:
$\sqrt {-2^5 • m^3 • n^5 • n^2 • p^10}$
Take the fifth roots:
$-2 • n • p^2\sqrt {m^3n^2}$
Multiply the coefficients:
$-2np^2\sqrt {m^3n^2}$