Solve x^3y^2/x^2y^6

$$\frac { x ^ { 3 } y ^ { 2 } } { x ^ { 2 } y ^ { 6 } }$$

Evaluate

$$\frac{x}{y^{4}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{3}y^{2}}{x^{2}y^{6}}$$

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

$$x^{3-2}y^{2-6}$$

Subtract 2 from 3.

$$x^{1}y^{2-6}$$

Subtract 6 from 2.

$$x^{1}y^{-4}$$

For any term t, t^{1}=t.

$$xy^{-4}$$

Differentiate w.r.t. x

$$\frac{1}{y^{4}}$$