Solve 12m^4n^8/9m^6n^2=

$$\frac { 12 m ^ { 4 } n ^ { 8 } } { 9 m ^ { 6 } n ^ { 2 } } =$$

Evaluate

$$\frac{4n^{6}}{3m^{2}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{12^{1}m^{4}n^{8}}{9^{1}m^{6}n^{2}}$$

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

$$\frac{12^{1}}{9^{1}}m^{4-6}n^{8-2}$$

Subtract 6 from 4.

$$\frac{12^{1}}{9^{1}}m^{-2}n^{8-2}$$

Subtract 2 from 8.

$$\frac{12^{1}}{9^{1}}\times \frac{1}{m^{2}}n^{6}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{4}{3}\times \frac{1}{m^{2}}n^{6}$$

Differentiate w.r.t. n

$$\frac{8n^{5}}{m^{2}}$$