Solve frac{4x^{3}y}{3xy^4}*-6x^2y^2/10x^4

$$\frac { 4 x ^ { 3 } y } { 3 x y ^ { 4 } } \times \frac { - 6 x ^ { 2 } y ^ { 2 } } { 10 x ^ { 4 } }$$

Evaluate

$$-\frac{4}{5y}$$

Solution Steps

Cancel out xy in both numerator and denominator.

$$\frac{4x^{2}}{3y^{3}}\times \frac{-6x^{2}y^{2}}{10x^{4}}$$

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

$$\frac{4x^{2}}{3y^{3}}\times \frac{-3y^{2}}{5x^{2}}$$

Multiply \frac{4x^{2}}{3y^{3}} times \frac{-3y^{2}}{5x^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4x^{2}\left(-3\right)y^{2}}{3y^{3}\times 5x^{2}}$$

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

$$\frac{-4}{5y}$$

Differentiate w.r.t. y

$$\frac{4}{5y^{2}}$$