Solve -4x^3y^4*(-2)x^5y

$$- 4 x ^ { 3 } y ^ { 4 } \cdot ( - 2 ) x ^ { 5 } y$$

Evaluate

$$8y^{5}x^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-4\right)^{1}x^{3}y^{4}\left(-2\right)^{1}x^{5}y^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{3}x^{5}y^{4}y^{1}$$

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

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{3+5}y^{4+1}$$

Add the exponents 3 and 5.

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{8}y^{4+1}$$

Add the exponents 4 and 1.

$$\left(-4\right)^{1}\left(-2\right)^{1}x^{8}y^{5}$$

Multiply -4 times -2.

$$8x^{8}y^{5}$$

Differentiate w.r.t. x

$$64y^{5}x^{7}$$