Question

$\sqrt{ \sqrt{ {4}^{ - 4} } } \times {2}^{16} \: \: \: \: \: \:$
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Answer 1

$\sqrt{ \sqrt{(2^{2})^{ - 4} \times 2 {}^{16} }}$

$\sqrt{ \sqrt{2 {}^{ - 8} \times 2 {}^{16} } } = \sqrt{ \sqrt{(2) {}^{ - 8 + 16} }}$

$\sqrt{ \sqrt{(2) {}^{8}}} = \sqrt{2 ^{4} } = 2^{2} = 4$