Solve s^2/n^6divs^4/n^2

$$\frac { s ^ { 2 } } { n ^ { 6 } } \div \frac { s ^ { 4 } } { n ^ { 2 } }$$

Evaluate

$$\frac{1}{s^{2}n^{4}}$$

Solution Steps

Divide \frac{s^{2}}{n^{6}} by \frac{s^{4}}{n^{2}} by multiplying \frac{s^{2}}{n^{6}} by the reciprocal of \frac{s^{4}}{n^{2}}.

$$\frac{s^{2}n^{2}}{n^{6}s^{4}}$$

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

$$\frac{1}{s^{2}n^{4}}$$

Differentiate w.r.t. n

$$-\frac{4}{s^{2}n^{5}}$$