To simplify the expression (-3x²y)(8xy³), we can use the distributive property of multiplication, which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum.
Applying this property, we get:
(-3x²y)(8xy³) = -3x²y * 8xy³
= (-3 * 8) * (x² * x) * (y * y³)
= -24x^(2+1)y^(1+3)
= -24x³y⁴
Therefore, (-3x²y)(8xy³) simplifies to -24x³y⁴.