Solve 10v^6w^4/2v^3w

$$\frac { 10 v ^ { 6 } w ^ { 4 } } { 2 v ^ { 3 } w }$$

Evaluate

$$5\left(vw\right)^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{10^{1}v^{6}w^{4}}{2^{1}v^{3}w^{1}}$$

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

$$\frac{10^{1}}{2^{1}}v^{6-3}w^{4-1}$$

Subtract 3 from 6.

$$\frac{10^{1}}{2^{1}}v^{3}w^{4-1}$$

Subtract 1 from 4.

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

Divide 10 by 2.

$$5v^{3}w^{3}$$

Differentiate w.r.t. w

$$15w^{2}v^{3}$$