Step 1 :The inequality is \(2x^{2/3} \leq -4\).
Step 2 :Isolate \(x^{2/3}\) by dividing both sides by 2 to get \(x^{2/3} \leq -2\).
Step 3 :Since \(x^{2/3}\) is always non-negative for real \(x\), it cannot be less than or equal to -2.
Step 4 :Therefore, there is no solution to this inequality.
Step 5 :Final Answer: \(\boxed{\text{No Solution}}\)