Solve m^4n^5/m^6n^2

$$\frac { m ^ { 4 } n ^ { 5 } } { m ^ { 6 } n ^ { 2 } }$$

Evaluate

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

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{m^{4}n^{5}}{m^{6}n^{2}}$$

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

$$m^{4-6}n^{5-2}$$

Subtract 6 from 4.

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

Subtract 2 from 5.

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

Differentiate w.r.t. n

$$3\times \left(\frac{n}{m}\right)^{2}$$