Zapisz wyrażenia w postaci 3k gdzie k jest liczba wymierna.

[latex]frac{sqrt[3]{9frac13}}{sqrt{27}*81^{frac16}} = frac{(9^{frac13})^{frac13}}{27^{frac12}*(3^4)^{frac16}} = frac{(3^2)^{frac19}}{(3^3)^{frac12}*3^{frac23}} = frac{3^{frac29}}{3^{frac32}*3^{frac23}} = 3^{frac29-frac32-frac23} = 3^{frac4{18}-frac{27}{18}-frac{12}{18}} = \\=3^{-frac{35}{18}}\\sqrt[4]{3*sqrt[3]3} = (3*3^{frac13})^{frac14} = (3^{1+frac13})^{frac14} = (3^{frac43})^{frac14} = 3^{frac13}[/latex]