Quantitative Aptitude Ques 1400

Question: Value of the expression $ {{[ \frac{{{(\sqrt{4})}^{5}}\times {{(\sqrt{4})}^{-3}}}{{{(\sqrt{4})}^{-2}}} ]}^{\frac{3}{2}}} $ is

Options:

A) $ 2^{6} $

B) $ 2^{2} $

C) $ 2^{8} $

D) $ 2^{4} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ {{[ \frac{{{(\sqrt{4})}^{5}}\times {{(\sqrt{4})}^{-3}}}{{{(\sqrt{4})}^{-2}}} ]}^{3/2}} $ $ ={{[ \frac{2^{5}\times {2^{-3}}}{{2^{-2}}} ]}^{3/2}}={{( \frac{2^{2}}{{2^{-2}}} )}^{3/2}} $ $ ={{({2^{2+2}})}^{3/2}}={{(2^{4})}^{3/2}}=2^{6} $