Solve frac{(frac{l^{5}m^{4}n^{6}}{pq})}{(frac{l^{5}m^3n^6}{p^2q^2})}

$$\frac { ( \frac { l ^ { 5 } m ^ { 4 } n ^ { 6 } } { p q } ) } { ( \frac { l ^ { 5 } m ^ { 3 } n ^ { 6 } } { p ^ { 2 } q ^ { 2 } } ) }$$

Evaluate

$$mpq$$

Solution Steps

Divide \frac{l^{5}m^{4}n^{6}}{pq} by \frac{l^{5}m^{3}n^{6}}{p^{2}q^{2}} by multiplying \frac{l^{5}m^{4}n^{6}}{pq} by the reciprocal of \frac{l^{5}m^{3}n^{6}}{p^{2}q^{2}}.

$$\frac{l^{5}m^{4}n^{6}p^{2}q^{2}}{pql^{5}m^{3}n^{6}}$$

Cancel out pqm^{3}l^{5}n^{6} in both numerator and denominator.

$$mpq$$

Differentiate w.r.t. p

$$mq$$