Solve (-5xy)(4x^2)(y^4)

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

Evaluate

$$-20x^{3}y^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 2.

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

Add the exponents 1 and 4.

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

Multiply -5 times 4.

$$-20x^{3}y^{5}$$

Differentiate w.r.t. x

$$-60x^{2}y^{5}$$