Simplify 3 (^{n − 1}) ×  (frac{27^{n + 1}}{81^n})

Simplify 3 (^{n − 1}) ×  (frac{27^{n + 1}}{81^n})

Correct Answer: Option B

Explanation

3(^{n – 1}) × (frac{27^{n + 1}}{81^n})
= 3(^{n – 1}) ×  (frac{3^{3(n + 1)}}{3^{4n}})
= 3(^{n – 1 + 3n + 3 − 4n})
= 3(^{4n − 4n − 1 + 3})
= (3^{2})
= 9

There is an explanation video available below.