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

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

Explanation:

$\sqrt{2^{n}}=64$

$\Leftrightarrow \left(2^{n}\right)^{\dfrac{1}{2}}$ $=2^{6}$

$\Leftrightarrow 2^{\dfrac{n}{2}}=2^{6}$

$\Leftrightarrow \dfrac{n}{2}=6$

$\Leftrightarrow n=12$

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