Simplify; (frac{3^{n – 1} times 27^{n + 1}}{81^{n}})
-
A.
32n -
B.
9 -
C.
3n -
D.
3n + 1
Correct Answer: Option B
Explanation
(frac{3^{n – 1} times 27^{n + 1}}{81^{n}})
= (frac{3^{n – 1} times 3^{3(n + 1)}}{3^{4n}})
= 3(^{n – 1 + 3n + 3 – 4n})
= 3(^{4n – 4n – 1 + 3})
= 32
= 9