Answer: 3x
Step-by-step explanation:
[tex]\dfrac{\sqrt[3]{54x^5}}{\sqrt[3]{2x^2}}=\dfrac{\sqrt[3]{3\cdot 3\cdot 3\cdot 2\cdot x\cdot x\cdot x\cdot x^2}}{\sqrt[3]{2x^2}}=\dfrac{3x\sqrt[3]{2x^2}}{\sqrt[3]{2x^2} }=\boxed{3x}[/tex]
