Odpowiedź:
[tex]\dfrac{(1\frac{2}{3})^3\cdot\frac{9}{25}}{((\frac{3}{5})^3)^2}:(2\frac{2}{9})^3=\dfrac{(\frac{5}{3})^3\cdot\frac{9}{25}}{(\frac{3}{5})^6}:(\frac{20}{9})^3=\dfrac{\frac{\not125^5}{\not27_{3}}\cdot\frac{\not9^1}{\not25_{1}}}{(\frac{5}{3})^{-6}}:(\frac{20}{9})^3=\dfrac{\frac{5}{3}}{(\frac{5}{3})^{-6}}:(\frac{20}{9})^3=\\\\\\=\frac{5}{3}:(\frac{5}{3})^{-6}:(\frac{20}{9})^3=(\frac{5}{3})^{1-(-6)}:\frac{8000}{729}= (\frac{5}{3})^{1+6}\cdot\frac{729}{8000}=(\frac{5}{3})^7\cdot\frac{3^6}{8000}=[/tex]
[tex]=\frac{5^7}{3^7}\cdot\frac{3^6}{8000}=\frac{5^7}{3^{7-6}}\cdot\frac{1}{8000}=\frac{78125}{3}\cdot\frac{1}{8000}=\frac{78125}{24000}=\frac{625}{192}=3\frac{49}{192}[/tex]
