Solve 9y^2/z*3yz*(z)

$$\frac { 9 y ^ { 2 } } { z } \cdot 3 y z \cdot ( z )$$

Evaluate

$$27zy^{3}$$

Solution Steps

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

$$\frac{9y^{2}}{z}\times 3yz^{2}$$

Express \frac{9y^{2}}{z}\times 3 as a single fraction.

$$\frac{9y^{2}\times 3}{z}yz^{2}$$

Express \frac{9y^{2}\times 3}{z}y as a single fraction.

$$\frac{9y^{2}\times 3y}{z}z^{2}$$

Express \frac{9y^{2}\times 3y}{z}z^{2} as a single fraction.

$$\frac{9y^{2}\times 3yz^{2}}{z}$$

Cancel out z in both numerator and denominator.

$$3\times 9yzy^{2}$$

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

$$3\times 9y^{3}z$$

Multiply 3 and 9 to get 27.

$$27y^{3}z$$

Differentiate w.r.t. y

$$81zy^{2}$$