Solve frac{l^{6}*m^-3}{n^-5m^2l^6}

$$\frac { l ^ { 6 } * m ^ { - 3 } } { n ^ { - 5 } m ^ { 2 } l ^ { 6 } }$$

Evaluate

$$\left(\frac{n}{m}\right)^{5}$$

Solution Steps

Cancel out l^{6} in both numerator and denominator.

$$\frac{m^{-3}}{n^{-5}m^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{n^{-5}m^{5}}$$

Differentiate w.r.t. n

$$\frac{5n^{4}}{m^{5}}$$