Solve 18w^15v^10/6w^3v^2

$$\frac { 18 w ^ { 15 } v ^ { 10 } } { 6 w ^ { 3 } v ^ { 2 } }$$

Evaluate

$$3v^{8}w^{12}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{18^{1}w^{15}v^{10}}{6^{1}w^{3}v^{2}}$$

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

$$\frac{18^{1}}{6^{1}}w^{15-3}v^{10-2}$$

Subtract 3 from 15.

$$\frac{18^{1}}{6^{1}}w^{12}v^{10-2}$$

Subtract 2 from 10.

$$\frac{18^{1}}{6^{1}}w^{12}v^{8}$$

Divide 18 by 6.

$$3w^{12}v^{8}$$

Differentiate w.r.t. v

$$24v^{7}w^{12}$$