Answer: x^(3/8)
====================================================
Step-by-step explanation:
The rule we use is
![\Large \sqrt[n]{x^m} = x^(m/n)](https://img.qammunity.org/2021/formulas/mathematics/high-school/63bd72dbh5ww7egxwwobhbi5um2eh1ab9g.png)
This allows us to go from root form to exponent form, and vice versa.
The index of the root is the denominator of the fractional exponent.
In this case, m = 3 and n = 8, so,
![\Large \sqrt[8]{x^3} = x^(3/8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/uvolh5s210zo1ysnq3ip58mf5a4dqln9r9.png)