[tex]a) \ \sqrt{2} = 2^{\frac{1}{2}}\\\\b) \ \sqrt[3]{2} = 2^{\frac{1}{3}}\\\\c) \ \sqrt{0,5} = \sqrt{\frac{1}{2}} = \sqrt{2^{-1}} = 2^{-\frac{1}{2}}\\\\d) \ \sqrt[3]{4} = \sqrt[3]{2^{2}} = 2^{\frac{2}{3}}\\\\e) \ \sqrt{512} = \sqrt{2^{9}} = 2^{\frac{9}{2}}\\\\f) \ \sqrt[3]{1024} = \sqrt[3]{2^{10}} = 2^{\frac{10}{3}}[/tex]
[tex]g) \ 2\sqrt{2} = 2^{1}\cdot2^{\frac{1}{2}} = 2^{1+\frac{1}{2}} = 2\frac{3}{2}}\\\\h) \ 2\sqrt[3]{2} = 2^{1}\cdot2^{\frac{1}{3}} = 2^{1+\frac{1}{3}} = 2^{\frac{4}{3}}[/tex]
