Solve x^0y^4/x^3y^-5

$$\frac { x ^ { 0 } y ^ { 4 } } { x ^ { 3 } y ^ { - 5 } }$$

Evaluate

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

Solution Steps

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

$$\frac{x^{0}y^{9}}{x^{3}}$$

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

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

Differentiate w.r.t. x

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