Solve -10m^6n^8/-2m^3n^2=

$$\frac { - 10 m ^ { 6 } n ^ { 8 } } { - 2 m ^ { 3 } n ^ { 2 } } =$$

Evaluate

$$5m^{3}n^{6}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{\left(-10\right)^{1}m^{6}n^{8}}{\left(-2\right)^{1}m^{3}n^{2}}$$

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

$$\frac{\left(-10\right)^{1}}{\left(-2\right)^{1}}m^{6-3}n^{8-2}$$

Subtract 3 from 6.

$$\frac{\left(-10\right)^{1}}{\left(-2\right)^{1}}m^{3}n^{8-2}$$

Subtract 2 from 8.

$$\frac{\left(-10\right)^{1}}{\left(-2\right)^{1}}m^{3}n^{6}$$

Divide -10 by -2.

$$5m^{3}n^{6}$$

Differentiate w.r.t. n

$$30m^{3}n^{5}$$