1.
[tex]a) \ 27^{3}:9^{4} = (3^{3})^{3}:(3^{2})^{4} = 3^{3\cdot3} : 3^{2\cdot4} = 3^{9}:3^{8} = 3^{9-8} = 3^{1}\\\\b) \ 70^{5}:35^{5} = (70:35)^{5} = 2^{5}\\\\c) \ (8^{4})^{2}\cdot64^{2} = 8^{8}\cdot(8^{2})^{2} = 8^{8}\cdot8^{4} =8^{12}[/tex]
2.
[tex](\frac{5}{9}+0,6):2 = (\frac{5}{9}+\frac{6}{10}):2 = (\frac{5}{9}+\frac{3}{5}):2 = (\frac{25}{45}+\frac{27}{45}):2 = \frac{52}{45}\cdot\frac{1}{2} = \frac{52}{90} = \frac{26}{45}[/tex]
