Solve (9x^4y^2)(-9x^4y^2)

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

Evaluate

$$-81y^{4}x^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 4 and 4.

$$9^{1}\left(-9\right)^{1}x^{8}y^{2+2}$$

Add the exponents 2 and 2.

$$9^{1}\left(-9\right)^{1}x^{8}y^{4}$$

Multiply 9 times -9.

$$-81x^{8}y^{4}$$

Differentiate w.r.t. x

$$-648y^{4}x^{7}$$