Simplify (8^{n} times 2^{2n} div 4^{3n})
-
A.
(2^{-n}) -
B.
(2^{1 – n}) -
C.
(2^{n}) -
D.
(2^{n + 1})
Correct Answer: Option A
Explanation
(8^{n} times 2^{2n} div 4^{3n} = 2^{3n} times 2^{2n} div 2^{6n})
(2^{2n + 3n – 6n})
= (2^{-n})
Simplify (8^{n} times 2^{2n} div 4^{3n})
(8^{n} times 2^{2n} div 4^{3n} = 2^{3n} times 2^{2n} div 2^{6n})
(2^{2n + 3n – 6n})
= (2^{-n})