Solve 2xy^2z*(-5x^3y^2z)

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

Evaluate

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

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

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

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

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

Multiply 2 and -5 to get -10.

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

Differentiate w.r.t. x

$$-40z^{2}x^{3}y^{4}$$