Solve frac{14x^{3}y^3}{7z^3}*1/28x^2y^2

$$\frac { 14 x ^ { 3 } y ^ { 3 } } { 7 z ^ { 3 } } \cdot \frac { 1 } { 28 x ^ { 2 } y ^ { 2 } }$$

Evaluate

$$\frac{xy}{14z^{3}}$$

Solution Steps

Cancel out 7 in both numerator and denominator.

$$\frac{2x^{3}y^{3}}{z^{3}}\times \frac{1}{28x^{2}y^{2}}$$

Multiply \frac{2x^{3}y^{3}}{z^{3}} times \frac{1}{28x^{2}y^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2x^{3}y^{3}}{z^{3}\times 28x^{2}y^{2}}$$

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

$$\frac{xy}{14z^{3}}$$

Differentiate w.r.t. x

$$\frac{y}{14z^{3}}$$