The problem asks to simplify the expression $\sqrt[3]{2^6}$.

1. Problem Description

The problem asks to simplify the expression $\sqrt[3]{2^6}$.

2. Solution Steps

First, we can rewrite the expression using the property $\sqrt[n]{a^m} = a^{\frac{m}{n}}$. In our case, $n=3$ and $m=6$, and $a=2$. Therefore, we have

$$\sqrt[3]{2^6} = 2^{\frac{6}{3}}$$

Next, we simplify the exponent:

$$\frac{6}{3} = 2$$

So, the expression becomes:

$$2^2$$

Finally, we evaluate $2^2$:

$$2^2 = 2 \cdot 2 = 4$$

3. Final Answer

The final answer is 4.