Correct Answer: Option D

Explanation

\(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)

\(\frac{3^{-5n}}{3^{2(1-n)}} \times 3^{3(n + 1)}\)

\(3^{-5n} \div 3^{2(1-n)} \times 3^{3(n + 1)}\)


\(3^{-5n - 2(1-n) + 3(n + 1)}\)


\(3^{-5n - 2 + 2n + 3n + 3}\)

\(3^{-5n + 5n + 3 - 2}\)

\(3^{1}\)

= 3

There is an explanation video available below.

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