Solve -3/7x^5y^8z^8/-frac{1{14}x^5{y}^6{z}^6}

$$\frac{ - \frac{ 3 }{ 7 } { x }^{ 5 } { y }^{ 8 } { z }^{ 8 } }{ - \frac{ 1 }{ 14 } { x }^{ 5 } { y }^{ 6 } { z }^{ 6 } }$$

Evaluate

$$6\left(yz\right)^{2}$$

Solution Steps

Cancel out x^{5}y^{6}z^{6} in both numerator and denominator.

$$\frac{-\frac{3}{7}y^{2}z^{2}}{-\frac{1}{14}}$$

Divide -\frac{3}{7}y^{2}z^{2} by -\frac{1}{14} by multiplying -\frac{3}{7}y^{2}z^{2} by the reciprocal of -\frac{1}{14}.

$$\frac{-\frac{3}{7}y^{2}z^{2}\times 14}{-1}$$

Anything divided by -1 gives its opposite.

$$\frac{3}{7}y^{2}z^{2}\times 14$$

Multiply \frac{3}{7} and 14 to get 6.

$$6y^{2}z^{2}$$

Differentiate w.r.t. y

$$12yz^{2}$$