[tex]a) \ (1\frac{3}{4})^{6}\cdot(\frac{2}{7})^{6} = (\frac{7}{4})^{6}\cdot(\frac{2}{7})^{6} = (\frac{7}{4}\cdot\frac{2}{7})^{6} = (\frac{1}{2})^{6} = \frac{1}{64}\\\\b) \ (0,8)^{4}:(2\frac{2}{3})^{4} = (\frac{8}{10})^{4}:(\frac{8}{3})^{4}=(\frac{8}{10}\cdot\frac{3}{8})^{4} = (\frac{3}{10})^{4} = \frac{81}{10000} = 0,0081[/tex]
[tex]c) \ (4\frac{1}{2})^{3}\cdot(-\frac{2}{3})^{3}\cdot(-2)^{3} = [\frac{9}{2}\cdot(-\frac{2}{3})\cdot(-2)]^{3} = 6^{3} = 216\\\\d) \ (2\frac{1}{2})^{4}\cdot0,6^{4}:(-15)^{4} = [\frac{5}{2}\cdot\frac{3}{5}:(-15)]^{4} = [\frac{3}{2}\cdot(-\frac{1}{15})]^{4} = (-\frac{1}{10})^{4} = \frac{1}{10000}=\\\\=0,0001[/tex]
