Solve 15xy^2*(-2x^2y)

$$15x { y }^{ 2 } \times (-2 { x }^{ 2 } y)$$

Evaluate

$$-30\left(xy\right)^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$15^{1}x^{1}y^{2}\left(-2\right)^{1}x^{2}y^{1}$$

Use the Commutative Property of Multiplication.

$$15^{1}\left(-2\right)^{1}x^{1}x^{2}y^{2}y^{1}$$

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

$$15^{1}\left(-2\right)^{1}x^{1+2}y^{2+1}$$

Add the exponents 1 and 2.

$$15^{1}\left(-2\right)^{1}x^{3}y^{2+1}$$

Add the exponents 2 and 1.

$$15^{1}\left(-2\right)^{1}x^{3}y^{3}$$

Multiply 15 times -2.

$$-30x^{3}y^{3}$$

Differentiate w.r.t. x

$$-90x^{2}y^{3}$$