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

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

Evaluate

$$-15x^{3}y^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 1.

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

Add the exponents 1 and 3.

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

Multiply 5 times -3.

$$-15x^{3}y^{4}$$

Differentiate w.r.t. x

$$-45x^{2}y^{4}$$