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\left(\sqrt{2}\sqrt{2}\right)^{4}
Divide \sqrt{2} by \frac{1}{\sqrt{2}} by multiplying \sqrt{2} by the reciprocal of \frac{1}{\sqrt{2}}.
2^{4}
Multiply \sqrt{2} and \sqrt{2} to get 2.
16
Calculate 2 to the power of 4 and get 16.