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

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

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})