Answer
16
Work Step by Step
We are asked to evaluate $-4x^{2}y^{3}$ when $x=2$ and $y=-1$. We can plug in the given value directly and evaluate.
$-4x^{2}y^{3}=-4\times2^{2}\times(-1)^{3}=-4\times(2\times2)\times(-1\times-1\times-1)=-4\times4\times-1=16$