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

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

Evaluate

$$-12y^{6}x^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 4.

$$3^{1}\left(-4\right)^{1}x^{7}y^{3+3}$$

Add the exponents 3 and 3.

$$3^{1}\left(-4\right)^{1}x^{7}y^{6}$$

Multiply 3 times -4.

$$-12x^{7}y^{6}$$

Differentiate w.r.t. x

$$-84\left(xy\right)^{6}$$