Solve frac{16xy^{2}}{8x^2y}*14my^3/28m^2y^4

$$\frac { 16 x y ^ { 2 } } { 8 x ^ { 2 } y } \cdot \frac { 14 m y ^ { 3 } } { 28 m ^ { 2 } y ^ { 4 } }$$

Evaluate

$$\frac{1}{mx}$$

Solution Steps

Cancel out 8xy in both numerator and denominator.

$$\frac{2y}{x}\times \frac{14my^{3}}{28m^{2}y^{4}}$$

Cancel out 14my^{3} in both numerator and denominator.

$$\frac{2y}{x}\times \frac{1}{2my}$$

Multiply \frac{2y}{x} times \frac{1}{2my} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2y}{x\times 2my}$$

Cancel out 2y in both numerator and denominator.

$$\frac{1}{mx}$$

Differentiate w.r.t. x

$$-\frac{1}{mx^{2}}$$