Simplify (sqrt[3]{frac{27a^{9}}{8}}).

A.
(frac{9a^2}{2a^3}) 
B.
(frac{3}{2a^3}) 
C.
(frac{2}{3a^2}) 
D.
(frac{3a^2}{2})
Correct Answer: Option B
Explanation
(sqrt[3]{frac{27a ^{9}}{8}}) = (frac{3a^{3}}{2})
= (frac{3}{2}) x (frac{1}{a^3})
= (frac{3}{2a^3})