Solve -8x^3y*12x^3y

$$- 8 x ^ { 3 } y \cdot 12 x ^ { 3 } y$$

Evaluate

$$-96y^{2}x^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-8\right)^{1}x^{3}y^{1}\times 12^{1}x^{3}y^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-8\right)^{1}\times 12^{1}x^{3}x^{3}y^{1}y^{1}$$

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

$$\left(-8\right)^{1}\times 12^{1}x^{3+3}y^{1+1}$$

Add the exponents 3 and 3.

$$\left(-8\right)^{1}\times 12^{1}x^{6}y^{1+1}$$

Add the exponents 1 and 1.

$$\left(-8\right)^{1}\times 12^{1}x^{6}y^{2}$$

Multiply -8 times 12.

$$-96x^{6}y^{2}$$

Differentiate w.r.t. x

$$-576y^{2}x^{5}$$