Solve -15m^4n^3/3mn^2=

$$\frac { - 15 m ^ { 4 } n ^ { 3 } } { 3 m n ^ { 2 } } =$$

Evaluate

$$-5nm^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{\left(-15\right)^{1}m^{4}n^{3}}{3^{1}m^{1}n^{2}}$$

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

$$\frac{\left(-15\right)^{1}}{3^{1}}m^{4-1}n^{3-2}$$

Subtract 1 from 4.

$$\frac{\left(-15\right)^{1}}{3^{1}}m^{3}n^{3-2}$$

Subtract 2 from 3.

$$\frac{\left(-15\right)^{1}}{3^{1}}m^{3}n^{1}$$

Divide -15 by 3.

$$-5m^{3}n$$

Differentiate w.r.t. n

$$-5m^{3}$$