1. The problem asks to find the cube root of 64, written as $\sqrt[3]{64} = ?$. 2. The cube root of a number $x$ is a value $y$ such that $y^3 = x$. 3. We want to find $y$ such that $y^3 = 64$. 4. Since $64 = 4^3$, we have $y = 4$. 5. Therefore, $\sqrt[3]{64} = 4$. 6. The answer is 4.