[tex]a = \frac{72^{6}}{27^{4}\cdot16^{3}} = \frac{(9\cdot8)^{6}}{(3^{3})^{4}\cdot(2^{4})^{3}} = \frac{(3^{2})^{6}\cdot(2^{3})^{6}}{3^{12}\cdot2^{12}} = \frac{3^{12}\cdot2^{18}}{3^{12}\cdot2^{12}} = 2^{6}\\\\b = (\frac{7}{14})^{3}:(0,25)^{3} = (\frac{1}{2})^{3}:(\frac{25}{100})^{3} = (\frac{1}{2})^{3}:(\frac{1}{4})^{3} = (\frac{1}{2}\cdot\frac{4}{1})^{3} = 2^{3}\\\\\frac{a}{b} = \frac{2^{6}}{2^{3}} = 2^{3} = 8[/tex]
