Solve (-2xy^3)(-5x^2y)

$$( - 2 x y ^ { 3 } ) ( - 5 x ^ { 2 } y )$$

Evaluate

$$10x^{3}y^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-2\right)^{1}x^{1}y^{3}\left(-5\right)^{1}x^{2}y^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-2\right)^{1}\left(-5\right)^{1}x^{1}x^{2}y^{3}y^{1}$$

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

$$\left(-2\right)^{1}\left(-5\right)^{1}x^{1+2}y^{3+1}$$

Add the exponents 1 and 2.

$$\left(-2\right)^{1}\left(-5\right)^{1}x^{3}y^{3+1}$$

Add the exponents 3 and 1.

$$\left(-2\right)^{1}\left(-5\right)^{1}x^{3}y^{4}$$

Multiply -2 times -5.

$$10x^{3}y^{4}$$

Differentiate w.r.t. x

$$30x^{2}y^{4}$$