Simplify (frac{3^{-5n}}{9^{1-n}} times 27^{n + 1})
-
A.
32 -
B.
33 -
C.
35 -
D.
3
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.