Solve (-3x^3y)(-2x^4y^7)

$$( - 3 x ^ { 3 } y ) ( - 2 x ^ { 4 } y ^ { 7 } )$$

Evaluate

$$6x^{7}y^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 4.

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

Add the exponents 1 and 7.

$$\left(-3\right)^{1}\left(-2\right)^{1}x^{7}y^{8}$$

Multiply -3 times -2.

$$6x^{7}y^{8}$$

Differentiate w.r.t. x

$$42x^{6}y^{8}$$