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} $