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

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

Evaluate

$$10y^{4}x^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 5.

$$\left(-2\right)^{1}\left(-5\right)^{1}x^{7}y^{1+3}$$

Add the exponents 1 and 3.

$$\left(-2\right)^{1}\left(-5\right)^{1}x^{7}y^{4}$$

Multiply -2 times -5.

$$10x^{7}y^{4}$$

Differentiate w.r.t. x

$$70y^{4}x^{6}$$