Solve (4x^6y^2)(-2xy)

$$( 4 x ^ { 6 } y ^ { 2 } ) ( - 2 x y )$$

Evaluate

$$-8y^{3}x^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}x^{6}y^{2}\left(-2\right)^{1}x^{1}y^{1}$$

Use the Commutative Property of Multiplication.

$$4^{1}\left(-2\right)^{1}x^{6}x^{1}y^{2}y^{1}$$

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

$$4^{1}\left(-2\right)^{1}x^{6+1}y^{2+1}$$

Add the exponents 6 and 1.

$$4^{1}\left(-2\right)^{1}x^{7}y^{2+1}$$

Add the exponents 2 and 1.

$$4^{1}\left(-2\right)^{1}x^{7}y^{3}$$

Multiply 4 times -2.

$$-8x^{7}y^{3}$$

Differentiate w.r.t. x

$$-56y^{3}x^{6}$$