10.
[tex]b) \ \sqrt{30}\cdot\sqrt{1\frac{1}{5}}=\sqrt{30\cdot\frac{6}{5}} = \sqrt{6\cdot6} = 6\\\\d) \ \sqrt{300}-2\sqrt{3} = \sqrt{100\cdot3}-2\sqrt{3} = 10\sqrt{3}-2\sqrt{3} = 8\sqrt{3}[/tex]
11.
[tex]a) \ (1,5)^{7}:(1,5)^{2} = (1,5)^{7-2} = (1,5)^{5}=(\frac{3}{2})^{5} = \frac{243}{32} = 7\frac{19}{32} \\\\b) \ (\frac{4}{3})^{4}\cdot3^{4} =(\frac{4}{3}\cdot3)^{4} = 4^{4}=256\\\\c) \ (\frac{5}{7})^{5}\cdot(1\frac{2}{5})^{6} = (\frac{5}{7})^{5}\cdot(\frac{7}{5})^{6} = (\frac{7}{5})^{-5}\cdot(\frac{7}{5})^{6} = (\frac{7}{5})^{-5+6} = (\frac{7}{5})^{1} = \frac{7}{5} = 1\frac{2}{5}[/tex]
