Solve (-5x^2y)(2yz^3)(-xz)

$$( - 5 x ^ { 2 } y ) ( 2 y z ^ { 3 } ) ( - x z )$$

Evaluate

$$10y^{2}x^{3}z^{4}$$

Solution Steps

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

$$-5x^{2}y^{2}\times 2z^{3}\left(-x\right)z$$

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

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

Multiply -5 and 2 to get -10.

$$-10x^{2}y^{2}z^{4}\left(-x\right)$$

Multiply -10 and -1 to get 10.

$$10x^{2}y^{2}z^{4}x$$

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

$$10x^{3}y^{2}z^{4}$$

Differentiate w.r.t. x

$$30z^{4}\left(xy\right)^{2}$$