In order to get rid of the cube root, we start by cubing the both sides of the equation \begin{align*} (\sqrt[3]{4x^2})^3&=(4)^3
\\ \Rightarrow \qquad 4x^2& =64
\\\Rightarrow \qquad x^2& =16
\end{align*}From here, we can see that the only possible values of $x$ are 4 and -4. Since the question asked to list them from least to greatest, the final answer is $\boxed{-4, 4}$.
If $\sqrt[3]{4x^2}=4$, find all possible values of $x$ and list them from least to greatest.
{'answer': '-4, 4', 'subject': 'Algebra', 'level': 3, 'unique_id': 'test/algebra/2168.json'}