Zadanie
\frac{3^{-1\frac{2}{3}}*(\frac{1}{9})^{-2\frac{1}{6}}*27^5}{9^{\frac{1}{3}}*81^3}=
\frac{3^{-1\frac{2}{3}}*9^{\frac{13}{6}}*27^5}{9^{\frac{1}{3}}*3^3*27^3}=
3^{-1\frac{2}{3}-3}*9^{\frac{13}{6}-\frac{2}{6}}*27^{5-3}=
3^{-4\frac{2}{3}}*(3^2)^{\frac{11}{6}}*(3^3)^2=
3^{-4\frac{4}{6}}*3^{\frac{22}{6}}*3^6=
3^{-4\frac{4}{6}+3\frac{4}{6}+6}=3^{-1+6}=3^5=243