Solve 3a/2y*4y/9a^5y^2

$$\frac { 3 a } { 2 y } \cdot \frac { 4 y } { 9 a ^ { 5 } y ^ { 2 } }$$

Evaluate

$$\frac{2}{3y^{2}a^{4}}$$

Solution Steps

Cancel out y in both numerator and denominator.

$$\frac{3a}{2y}\times \frac{4}{9ya^{5}}$$

Multiply \frac{3a}{2y} times \frac{4}{9ya^{5}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3a\times 4}{2y\times 9ya^{5}}$$

Cancel out 2\times 3a in both numerator and denominator.

$$\frac{2}{3yya^{4}}$$

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

$$\frac{2}{3y^{2}a^{4}}$$

Differentiate w.r.t. y

$$-\frac{4}{3y^{3}a^{4}}$$