Quantitative Aptitude Ques 2048

Question: $ {{[ \sqrt[3]{\sqrt[6]{2^{9}}} ]}^{4}}\times {{[ \sqrt[6]{\sqrt[3]{2^{9}}} ]}^{4}}=? $

Options:

A) $ 27 $

B) $ 2^{4} $

C) $ 2^{3} $

D) $ 2^{66} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ {{[ \sqrt[3]{\sqrt[6]{2^{9}}} ]}^{4}}\times {{[ \sqrt[6]{\sqrt[3]{2^{9}}} ]}^{4}}={2^{9\times \frac{1}{6}\times \frac{1}{3}\times 4}}\times {2^{9\times \frac{1}{3}\times \frac{1}{6}\times 4}} $