Evaluate (frac{27^frac{1}{3} – 8^frac{2}{3}}{16^frac{2}{4} times 2})

Evaluate (frac{27^frac{1}{3} – 8^frac{2}{3}}{16^frac{2}{4} times 2})

  • A.
    (frac{23}{5})
  • B.
    -(frac{23}{5})
  • C.
    -(frac{1}{8})
  • D.
    (frac{21}{7})
Correct Answer: Option C
Explanation

(frac{27^frac{1}{3} – 8^frac{2}{3}}{16^frac{2}{4} times 2})
(frac{27^frac{1}{3} – 8^frac{2}{3}}{16^frac{2}{4} times 2}) = (frac{3sqrt{27} – 3sqrt{8}^2}{sqrt{16} times 2})
(frac{3 – 4}{4 times 2})
= (frac{-1}{8})

There is an explanation video available below.

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