Answer: A) 3
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Work Shown:
[tex]9^{2/3}\\\\\left(9^{2}\right)^{1/3}\\\\\left(81\right)^{1/3}\\\\\left(27*3\right)^{1/3}\\\\\left(27\right)^{1/3}*\left(3\right)^{1/3}\\\\\left(3^{3}\right)^{1/3}*\left(3\right)^{1/3}\\\\3^{3*(1/3)}*\left(3\right)^{1/3}\\\\3^{1}*\left(3\right)^{1/3}\\\\3*\left(3\right)^{1/3}\\\\3\sqrt[3]{3}\\\\[/tex]
Interestingly, everything is a 3, though this won't happen every time with these types of problems.
