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1. \( \left(\left(\sqrt{2}\right)^{\sqrt{2}}\right)^{\sqrt{2}} = \) [ ].
2. \( 4^{1-2\sqrt{3}}\cdot16^{1+\sqrt{3}} =\) [ ].
3. \( \left(5^{\sqrt[5]{8}}\right)^{\sqrt[5]{4}} =\) [ ].