Solve 3nm^4/2m^3n^2

$$\frac { 3 n m ^ { 4 } } { 2 m ^ { 3 } n ^ { 2 } }$$

Evaluate

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

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{3^{1}n^{1}m^{4}}{2^{1}n^{2}m^{3}}$$

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

$$\frac{3^{1}}{2^{1}}n^{1-2}m^{4-3}$$

Subtract 2 from 1.

$$\frac{3^{1}}{2^{1}}\times \frac{1}{n}m^{4-3}$$

Subtract 3 from 4.

$$\frac{3^{1}}{2^{1}}\times \frac{1}{n}m^{1}$$

Divide 3 by 2.

$$\frac{3}{2}\times \frac{1}{n}m$$

Differentiate w.r.t. m

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