1)

If $\sqrt{2^{n}}=64$ then the value of n is:


A) 2

B) 4

C) 6

D) 12

Answer:

Option D

Explanation:

$\sqrt{2^{n}}=64$ $\Leftrightarrow \left(2^{n}\right)^{\frac{1}{2}}$ $=2^{6}$ $\Leftrightarrow 2^{\frac{n}{2}}=2^{6}$ $\Leftrightarrow \frac{n}{2}=6$ $\Leftrightarrow n=12$