2.
[tex]a) \ 4^{9}:4^{6}\cdot4^{2} = 4^{9-6}\cdot4^{2} = 4^{3}\cdot4^{2} = 4^{3+2} = 4^{5}\\\\b) \ (0,3^{4})^{5}=0,3^{4\cdot5} = 0,3^{20}\\\\c) \ \frac{(8^{3})^{4}\cdot8^{6}}{8^{3}} =\frac{8^{3\cdot4}\cdot8^{6}}{8^{3}} = \frac{8^{12}\cdot8^{6}}{8^{3}} = \frac{8^{12+6}}{8^{3}} = \frac{8^{18}}{8^{3}} = 8^{18-3} = 8^{15}[/tex]
3.
[tex](2^{3})^{3}:2^{4}\cdot2^{3} = 2^{3\cdot3}:2^{4}\cdot2^{3} = 2^{9}:2^{4}\cdot2^{3} = 2^{9-4}\cdot2^{3} = 2^{5}\cdot2^{3} = 2^{5+3} = 2^{8}\\\\Odp. \ B.[/tex]