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

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

Evaluate

$$-15yx^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 1.

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

Add the exponents 3 and -2.

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

Multiply -5 times 3.

$$-15x^{3}y$$

Differentiate w.r.t. x

$$-45yx^{2}$$