Solve (-6x^3y^7)(3x^4y)

$$( - 6 x ^ { 3 } y ^ { 7 } ) ( 3 x ^ { 4 } y )$$

Evaluate

$$-18x^{7}y^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-6\right)^{1}x^{3}y^{7}\times 3^{1}x^{4}y^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-6\right)^{1}\times 3^{1}x^{3}x^{4}y^{7}y^{1}$$

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

$$\left(-6\right)^{1}\times 3^{1}x^{3+4}y^{7+1}$$

Add the exponents 3 and 4.

$$\left(-6\right)^{1}\times 3^{1}x^{7}y^{7+1}$$

Add the exponents 7 and 1.

$$\left(-6\right)^{1}\times 3^{1}x^{7}y^{8}$$

Multiply -6 times 3.

$$-18x^{7}y^{8}$$

Differentiate w.r.t. x

$$-126x^{6}y^{8}$$