Answer
$\{0,8\}$
Work Step by Step
Step 1. Given the equation as $(x)^{2/3}=2(x)^{1/3}$
Step 2. Raise both sides to the 3rd power to get: $(x)^2=8x$ or $x^2-8x=0$ which gives $x=0,8$
Step 3. Check answers in the original equation: $\{0,8\}$ fit.