Solve (-3x^2y^3)(2x^4y^3)

$$( - 3 x ^ { 2 } y ^ { 3 } ) ( 2 x ^ { 4 } y ^ { 3 } )$$

Evaluate

$$-6\left(xy\right)^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 4.

$$\left(-3\right)^{1}\times 2^{1}x^{6}y^{3+3}$$

Add the exponents 3 and 3.

$$\left(-3\right)^{1}\times 2^{1}x^{6}y^{6}$$

Multiply -3 times 2.

$$-6x^{6}y^{6}$$

Differentiate w.r.t. x

$$-36x^{5}y^{6}$$