Solve frac{12s^frac{2{2}}t^frac{1{3}}}{s^2t^2}

$$\frac { 12 s ^ { \frac { 2 } { 2 } } t ^ { \frac { 1 } { 3 } } } { s ^ { 2 } t ^ { 2 } }$$

Evaluate

$$\frac{12}{st^{\frac{5}{3}}}$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{12s^{1}t^{\frac{1}{3}}}{s^{2}t^{2}}$$

Cancel out \sqrt[3]{t}s in both numerator and denominator.

$$\frac{12}{st^{\frac{5}{3}}}$$

Differentiate w.r.t. s

$$-\frac{12}{t^{\frac{5}{3}}s^{2}}$$