Solve (2x^2y)(-xy^2z)

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

Evaluate

$$-2z\left(xy\right)^{3}$$

Solution Steps

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

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

Multiply 2 and -1 to get -2.

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

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

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

Differentiate w.r.t. x

$$-6zx^{2}y^{3}$$