Solve (-xy)(8x^2)(2xy)

$$( - x y ) ( 8 x ^ { 2 } ) ( 2 x y )$$

Evaluate

$$-16y^{2}x^{4}$$

Solution Steps

Multiply y and y to get y^{2}.

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

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

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

Multiply 8 and 2 to get 16.

$$\left(-x\right)y^{2}\times 16x^{3}$$

Multiply -1 and 16 to get -16.

$$-16xy^{2}x^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$-16x^{4}y^{2}$$

Differentiate w.r.t. x

$$-64y^{2}x^{3}$$