Solve -12m^7n^8/4m^2n^5

$$\frac { - 12 m ^ { 7 } n ^ { 8 } } { 4 m ^ { 2 } n ^ { 5 } }$$

Evaluate

$$-3n^{3}m^{5}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{\left(-12\right)^{1}m^{7}n^{8}}{4^{1}m^{2}n^{5}}$$

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

$$\frac{\left(-12\right)^{1}}{4^{1}}m^{7-2}n^{8-5}$$

Subtract 2 from 7.

$$\frac{\left(-12\right)^{1}}{4^{1}}m^{5}n^{8-5}$$

Subtract 5 from 8.

$$\frac{\left(-12\right)^{1}}{4^{1}}m^{5}n^{3}$$

Divide -12 by 4.

$$-3m^{5}n^{3}$$

Differentiate w.r.t. n

$$-9n^{2}m^{5}$$