Answer
$-8x^{6}y^{15}$
Work Step by Step
We simplify this expression by raising each term in the expression to the power of $3$:
$(-2x^{2}y^{5})^{3}$
=$(-2)^{3}\times(x^{2})^{3}\times (y^{5})^{3}$
=$(-8)\times(x^{6})\times (y^{15})$
=$-8x^{6}y^{15}$