Quantitative Aptitude Ques 1230

Question: $ \sqrt[3]{{{(64)}^{-1/6}}\times {{(81)}^{3/4}}\times {{(64)}^{2/3}}} $ is

Options:

A) 6

B) 2

C) 12

D) 24

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ =\sqrt[3]{{{(64)}^{-1/6}}\times {{(81)}^{3/4}}\times {{(64)}^{2/3}}} $ $ =\sqrt[3]{{{(2^{6})}^{-1/6}}\times {{(3^{4})}^{3/4}}\times {{(4^{3})}^{2/3}}} $ $ =\sqrt[3]{{{(2^{6})}^{\frac{-1}{6}}}\times {{(3)}^{4\times \frac{3}{4}}}\times {{(4)}^{3\times \frac{2}{3}}}} $ $ =\sqrt[3]{\frac{1}{2}\times 3^{3}\times 4^{2}}=\sqrt[3]{3^{3}\times \frac{4\times 4}{2}} $ $ =\sqrt[3]{3^{3}\times 2^{3}}=3\times 2=6 $
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