Solve 36m^-4p^6/4mn^-2p^-4

$$\frac { 36 m ^ { - 4 } p ^ { 6 } } { 4 m n ^ { - 2 } p ^ { - 4 } }$$

Evaluate

$$\frac{9n^{2}p^{10}}{m^{5}}$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{9m^{-4}p^{6}}{p^{-4}n^{-2}m}$$

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

$$\frac{9m^{-4}p^{10}}{n^{-2}m}$$

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

$$\frac{9p^{10}}{n^{-2}m^{5}}$$

Differentiate w.r.t. n

$$\frac{18np^{10}}{m^{5}}$$