[tex]b)\\0,25^{4} * \frac{28^{6}}{7^{6}}= 0,25^{4} * \frac{(7*4)^{6}}{7^{6}} = 0,25^{4} * \frac{7^{6}*4^{6}}{7^{6}}= 0,25^{4} * \frac{7^{6}}{7^{6}} * 4^{6}= 0,25^{4} * 7^{0} * 4^{6} = (\frac{1}{4}) ^{4} * 1 * 4^{6} = (4^{-1})^{4} * 4^{6} = 4^{-4} * 4^{6} = 4^{2} = 16\\[/tex]
[tex]c)\\\frac{2^{6}*5^{12}*7^{6}}{3,5^{6}} : 10^{10} = \frac{14^{6}*5^{12}}{3,5^{6}} : 10^{10}= \frac{14^{6}}{3,5^{6}} * 5^{12} : 10^{10} = 4^{6} * 5^{12} : 10^{10} = (2^{2})^{6} * 5^{12} : 10^{10} = 2^{12} * 5^{12} : 10^{10} = 10^{12} : 10^{10} = 10^{2} = 100[/tex]