Quantitative Aptitude Ques 1249

Question: When simplified, $ {{(256)}^{-({4^{-,3/,2}})}} $ is

Options:

A) $ 8 $

B) $ \frac{1}{8} $

C) $ 2 $

D) $ \frac{1}{2} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Given, $ {{(256)}^{-({4^{-3/2}})}}={{(256)}^{-( \frac{1}{{4^{3/2}}} )}}={{(256)}^{-( \frac{1}{{{(2^{2})}^{,3/2}}} )}} $ $ ={{(256)}^{-\frac{1}{8}}}=\frac{1}{{{(256)}^{\frac{1}{8}}}}=\frac{1}{{{(2^{8})}^{1/8}}} $ $ =\frac{1}{2} $
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