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}} $