Solve x^6y^6/xy^4

$$\frac { x ^ { 6 } y ^ { 6 } } { x y ^ { 4 } }$$

Evaluate

$$y^{2}x^{5}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{6}y^{6}}{x^{1}y^{4}}$$

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

$$x^{6-1}y^{6-4}$$

Subtract 1 from 6.

$$x^{5}y^{6-4}$$

Subtract 4 from 6.

$$x^{5}y^{2}$$

Differentiate w.r.t. x

$$5y^{2}x^{4}$$