The problem asks us to simplify the expression $(\frac{x^{1/6}}{1})^3$ and express the answer with positive exponents.

1. Problem Description

The problem asks us to simplify the expression $(\frac{x^{1/6}}{1})^3$ and express the answer with positive exponents.

2. Solution Steps

First, we simplify the fraction inside the parentheses. Since dividing by 1 does not change the value, we have $\frac{x^{1/6}}{1} = x^{1/6}$.

Then, we need to evaluate $(x^{1/6})^3$. We use the power of a power rule, which states that $(a^m)^n = a^{m \cdot n}$.

Applying this rule, we have $(x^{1/6})^3 = x^{(1/6) \cdot 3} = x^{3/6} = x^{1/2}$.

Since the problem asks us to express the answer with positive exponents, and $1/2$ is already positive, we have our final answer.

3. Final Answer

$x^{1/2}$