Solve x^3y^2zdiv2xyz

$${ x }^{ 3 } { y }^{ 2 } z \div 2xyz$$

Evaluate

$$\frac{z^{2}y^{3}x^{4}}{2}$$

Solution Steps

Express \frac{x^{3}y^{2}z}{2}x as a single fraction.

$$\frac{x^{3}y^{2}zx}{2}yz$$

Express \frac{x^{3}y^{2}zx}{2}y as a single fraction.

$$\frac{x^{3}y^{2}zxy}{2}z$$

Express \frac{x^{3}y^{2}zxy}{2}z as a single fraction.

$$\frac{x^{3}y^{2}zxyz}{2}$$

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

$$\frac{x^{4}y^{2}zyz}{2}$$

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

$$\frac{x^{4}y^{3}zz}{2}$$

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

$$\frac{x^{4}y^{3}z^{2}}{2}$$

Differentiate w.r.t. x

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