Quantitative Aptitude Ques 1399

Question: The value of $ {{(64)}^{\frac{1}{6}}}\times {{( \frac{3}{2} )}^{4}}\div {{(121)}^{0}}+{{( \frac{1}{3} )}^{4}}, $ is equal to

Options:

A) $ 24 $

B) $ 32 $

C) $ \frac{161}{648} $

D) $ \frac{6569}{648} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ {{(64)}^{\frac{1}{6}}}\times {{( \frac{3}{2} )}^{4}}\div {{(121)}^{0}}+{{( \frac{1}{3} )}^{4}} $ $ ={{(2)}^{6\times \frac{1}{6}}}\times \frac{81}{16}\times \frac{1}{1}+{{( \frac{1}{3} )}^{4}} $ $ =(2)\times \frac{81}{16}\times 1+\frac{1}{81} $ $ =\frac{81}{8}+\frac{1}{81} $

$ \Rightarrow $ $ \frac{{{(81)}^{2}}+8}{648}=\frac{6561+8}{648}=\frac{6569}{648} $

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