We have to simplfy the expression.
We will use the following rule: roots can be expressed as fractional exponents.
For example, the square root of x is equivalent to x powered to 1/2.
Then, we can rearrange the exponents in this expression as:
![(\sqrt[5]{3^2})^{(1)/(3)}=(3^{2\cdot(1)/(5)})^{(1)/(3)}=3^{(2)/(5)\cdot(1)/(3)}=3^{(2)/(15)}](https://img.qammunity.org/2023/formulas/mathematics/college/q0twovofop96bx784iwk50sllvhbba7a8h.png)
Answer: the equivalent expression is 3^(2/15) [Second option]