Quantitative Aptitude Ques 2094

Question: The value of $ \frac{{3^{12+n}}\times {9^{2n-7}}}{3^{5n}} $ is equal to

Options:

A) $ \frac{1}{9} $

B) $ \frac{1}{7} $

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

D) $ \frac{1}{12} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \frac{{3^{12+n}}\times {9^{2n-7}}}{3^{5n}}=\frac{{3^{12+n}}\times {3^{2(2n-7)}}}{3^{5n}} $ $ =\frac{{3^{12+n}}\times {3^{4n-14}}}{3^{5n}} $ $ =\frac{{3^{12+n+4n-14}}}{3^{5n}} $ $ =\frac{{3^{5n-2}}}{3^{5n}}={3^{5n-2-5n}} $ $ ={3^{-2}}=\frac{1}{3^{2}}=\frac{1}{9} $
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