Zadanie Zapisz w postaci potęgi \sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}} =
źródło:
\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}} = 2^{\frac{1}{2}}*2^{\frac{1}{4}}*2^{\frac{1}{6}}*2^{\frac{1}{8}}=2^{\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}} = 2^{\frac{8+4+2+1}{16}}=2^{\frac{15}{16}}