Simplify (sqrt[3]{frac{8}{27}} – (frac{4}{9})^{-frac{1}{2}})

Simplify (sqrt[3]{frac{8}{27}} – (frac{4}{9})^{-frac{1}{2}})

  • A.
    (frac{-5}{6})
  • B.
    (-frac{4}{27})
  • C.
    (0)
  • D.
    (frac{2}{9})
Correct Answer: Option A
Explanation

(sqrt[3]{frac{8}{27}} – (frac{4}{9})^{frac{-1}{2}} )

(frac{2}{3} – (frac{9}{4})^{frac{1}{2}})

= (frac{2}{3} – frac{3}{2})

= (frac{-5}{6})

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