Simplify the following expression. Rationalize all denominators.

Answer:
[tex]\frac{\sqrt{3}x}{2y^{\frac{2}{3} } }[/tex]
Step-by-step explanation:
√3x^6/√2x^4y^3
~Factor
(√3)x^3/(√2)x²y√y
~Cancel
(√3)x/(√2)y√y
~Rationalize
(√6)x/2y^(2/3)
Best of Luck!