Solve (9xy^2)(-4xy^4)

$$( 9 x y ^ { 2 } ) ( - 4 x y ^ { 4 } )$$

Evaluate

$$-36x^{2}y^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$9^{1}x^{1}y^{2}\left(-4\right)^{1}x^{1}y^{4}$$

Use the Commutative Property of Multiplication.

$$9^{1}\left(-4\right)^{1}x^{1}x^{1}y^{2}y^{4}$$

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

$$9^{1}\left(-4\right)^{1}x^{1+1}y^{2+4}$$

Add the exponents 1 and 1.

$$9^{1}\left(-4\right)^{1}x^{2}y^{2+4}$$

Add the exponents 2 and 4.

$$9^{1}\left(-4\right)^{1}x^{2}y^{6}$$

Multiply 9 times -4.

$$-36x^{2}y^{6}$$

Differentiate w.r.t. x

$$-72xy^{6}$$