Solve x^81y^30/x^31y^6

$$\frac { x ^ { 81 } y ^ { 30 } } { x ^ { 31 } y ^ { 6 } }$$

Evaluate

$$y^{24}x^{50}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{81}y^{30}}{x^{31}y^{6}}$$

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

$$x^{81-31}y^{30-6}$$

Subtract 31 from 81.

$$x^{50}y^{30-6}$$

Subtract 6 from 30.

$$x^{50}y^{24}$$

Differentiate w.r.t. x

$$50y^{24}x^{49}$$