Solve x^4y^3/x^7y^12

$$\frac { x ^ { 4 } y ^ { 3 } } { x ^ { 7 } y ^ { 12 } }$$

Evaluate

$$\frac{1}{x^{3}y^{9}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{4}y^{3}}{x^{7}y^{12}}$$

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

$$x^{4-7}y^{3-12}$$

Subtract 7 from 4.

$$x^{-3}y^{3-12}$$

Subtract 12 from 3.

$$x^{-3}y^{-9}$$

Differentiate w.r.t. x

$$-\frac{3}{x^{4}y^{9}}$$