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

Answer:

Explanation:

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