Solve (-4xy^2)*(-2x^2y)=

$$( - 4 x y ^ { 2 } ) \cdot ( - 2 x ^ { 2 } y ) =$$

Evaluate

$$8\left(xy\right)^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-4\right)^{1}x^{1}y^{2}\left(-2\right)^{1}x^{2}y^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{1}x^{2}y^{2}y^{1}$$

To multiply powers of the same base, add their exponents.

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{1+2}y^{2+1}$$

Add the exponents 1 and 2.

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{3}y^{2+1}$$

Add the exponents 2 and 1.

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{3}y^{3}$$

Multiply -4 times -2.

$$8x^{3}y^{3}$$

Differentiate w.r.t. x

$$24x^{2}y^{3}$$