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

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

Evaluate

$$-3mn$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{6^{1}m^{5}n^{2}}{\left(-2\right)^{1}m^{4}n^{1}}$$

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

$$\frac{6^{1}}{\left(-2\right)^{1}}m^{5-4}n^{2-1}$$

Subtract 4 from 5.

$$\frac{6^{1}}{\left(-2\right)^{1}}m^{1}n^{2-1}$$

Subtract 1 from 2.

$$\frac{6^{1}}{\left(-2\right)^{1}}mn^{1}$$

Divide 6 by -2.

$$-3mn$$

Differentiate w.r.t. n

$$-3m$$