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

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

Evaluate

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

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 1.

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

Add the exponents 1 and 2.

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

Multiply -2 times 4.

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

Differentiate w.r.t. x

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