Simplify the expression $\frac{x^{1 / 3}}{x^{-5 / 4}}$. Assume $x> 0$
A) The answer can be written in the form $x^{a}$ where
the exponent $a$ is: $\frac{19}{12} \checkmark \sigma^{6}$ Note: enter the exponent as a reduced fraction or integer.
B) The answer can be written in the form $\frac{1}{x^{b}}$ where
the exponent $b$ is: $7 \quad \times \quad$ Note: enter the exponent as a reduced fraction or integer.

Step 1 ：Given the expression \(\frac{x^{1 / 3}}{x^{-5 / 4}}\), we can simplify it by using the rule of exponents \(a^{m}/a^{n}=a^{m-n}\).

Step 2 ：Subtract the exponent of the denominator from the exponent of the numerator to simplify the expression.

Step 3 ：The simplified expression is \(x^{19/12}\).

Step 4 ：So, the exponent \(a\) in the form \(x^{a}\) is \(19/12\).

Step 5 ：The expression cannot be written in the form \(\frac{1}{x^{b}}\) because the exponent is positive.

Step 6 ：Final Answer: A) The exponent \(a\) is \(\boxed{\frac{19}{12}}\). B) The expression cannot be written in the form \(\frac{1}{x^{b}}\).