Solve -5/18a^2x^3y^7/-frac{10{9}ax^3{y}^2}

$$\frac{ - \frac{ 5 }{ 18 } { a }^{ 2 } { x }^{ 3 } { y }^{ 7 } }{ - \frac{ 10 }{ 9 } a { x }^{ 3 } { y }^{ 2 } }$$

Evaluate

$$\frac{ay^{5}}{4}$$

Solution Steps

Cancel out ay^{2}x^{3} in both numerator and denominator.

$$\frac{-\frac{5}{18}ay^{5}}{-\frac{10}{9}}$$

Divide -\frac{5}{18}ay^{5} by -\frac{10}{9} by multiplying -\frac{5}{18}ay^{5} by the reciprocal of -\frac{10}{9}.

$$\frac{-\frac{5}{18}ay^{5}\times 9}{-10}$$

Multiply -\frac{5}{18} and 9 to get -\frac{5}{2}.

$$\frac{-\frac{5}{2}ay^{5}}{-10}$$

Divide -\frac{5}{2}ay^{5} by -10 to get \frac{1}{4}ay^{5}.

$$\frac{1}{4}ay^{5}$$

Differentiate w.r.t. y

$$\frac{5ay^{4}}{4}$$