Answer
$24x^{7}y^{6}$
Work Step by Step
We are given the expression $(-4x^{2}y)(3x^{4})(-2xy^{5})$. We can simplify by first grouping like terms.
$(-4\times3\times-2)\times(x^{2}\times x^{4}\times x)\times(y\times y^{5})$
Next we can use the product rule, which holds that $a^{m}\times a^{n}=a^{m+n}$ (where a is a real number, and m and n are positive integers).
$24\times (x^{2+4+1})\times (y^{1+5})=24x^{7}y^{6}$