[tex]I. \ (2\cdot6)^{2} = 12^{2} = 144 \ - \ A\\\\II. \ 5^{7}\cdot2^{7} =(5\cdot2)^{7} = 10^{7} = 10 \ 000 \ 000 \ - \ G\\\\III. \ (\frac{1}{9})^{3}\cdot3^{6} = ((\frac{1}{3})^{2})^{3}\cdot3^{6} = (\frac{1}{3})^{6}\cdot3^{6} = (\frac{1}{3}\cdot3)^{6} = 1^{6} = 1 \ - \ A\\\\IV. \ (2^{3})^{3} =2^{9} = 412 \ - \ F\\\\V. \ 0,5^{7}\cdot2^{7} =(0,5\cdot2)^{7} = 1^{7} = 1 \ - \ A\\\\VI. \ \frac{27^{3}}{3^{8}} = \frac{(3^{3})^{3}}{3^{8}} = \frac{3^{9}}{3^{8}} = 3^{1} = 3 \ - \ C[/tex]
[tex]VII. \ \frac{64^{4}}{2^{20}} = \frac{(2^{6})^{4}}{2^{20}} = \frac{2^{24}}{2^{20}} = 2^{4} = 16 \ - \ D\\\\VIII. \ (-\frac{1}{2})^{4}\cdot2^{5} = \frac{1}{16}\cdot32} = 2 \ - \ B\\\\IX. \ [(\frac{2}{3})^{3}]^{2}\cdot(1\frac{1}{2})^{6} = (\frac{2}{3})^{6}\cdot(\frac{3}{2})^{6} = (\frac{2}{3}\cdot\frac{3}{2})^{6} = 1^{6} = 1 \ - \ A[/tex]
