Solve v^2w^2/v^5w^6

$$\frac { v ^ { 2 } w ^ { 2 } } { v ^ { 5 } w ^ { 6 } }$$

Evaluate

$$\frac{1}{v^{3}w^{4}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{v^{2}w^{2}}{v^{5}w^{6}}$$

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

$$v^{2-5}w^{2-6}$$

Subtract 5 from 2.

$$v^{-3}w^{2-6}$$

Subtract 6 from 2.

$$v^{-3}w^{-4}$$

Differentiate w.r.t. v

$$-\frac{3}{\left(vw\right)^{4}}$$