Solve x^6y^10/x^7y^5

$$\frac { x ^ { 6 } y ^ { 10 } } { x ^ { 7 } y ^ { 5 } }$$

Evaluate

$$\frac{y^{5}}{x}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{6}y^{10}}{x^{7}y^{5}}$$

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

$$x^{6-7}y^{10-5}$$

Subtract 7 from 6.

$$\frac{1}{x}y^{10-5}$$

Subtract 5 from 10.

$$\frac{1}{x}y^{5}$$

Differentiate w.r.t. x

$$-\frac{y^{5}}{x^{2}}$$