Solve (-x/y)7/9(y/z)

$$( - \frac { x } { y } ) \frac { 7 } { 9 } ( \frac { y } { z } )$$

Evaluate

$$-\frac{7x}{9z}$$

Solution Steps

Multiply -\frac{x}{y} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-x\times 7}{y\times 9}\times \frac{y}{z}$$

Multiply \frac{-x\times 7}{y\times 9} times \frac{y}{z} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-x\times 7y}{y\times 9z}$$

Cancel out y in both numerator and denominator.

$$\frac{-7x}{9z}$$

Differentiate w.r.t. x

$$-\frac{7}{9z}$$