Use the rules of exponents to simplify the expression.
$$\frac{x^{\frac{17}{24}}}{x^{\frac{19}{20}}}$$
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
$$x^{\frac{17}{24}-\frac{19}{20}}$$
Subtract $\frac{19}{20}$ from $\frac{17}{24}$ by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.
