Solve m^6n^3/m^2n^6

$$\frac { m ^ { 6 } n ^ { 3 } } { m ^ { 2 } n ^ { 6 } }$$

Evaluate

$$\frac{m^{4}}{n^{3}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{m^{6}n^{3}}{m^{2}n^{6}}$$

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

$$m^{6-2}n^{3-6}$$

Subtract 2 from 6.

$$m^{4}n^{3-6}$$

Subtract 6 from 3.

$$m^{4}n^{-3}$$

Differentiate w.r.t. n

$$-3\times \left(\frac{m}{n}\right)^{4}$$