a)
[tex]= -(\frac{1}{2})^{3} * (\frac{1}{2})^{4} * 2^{7} = -2^{-3} * 2^{-4} * 2^{7} = -1[/tex]
b)
[tex]= (\frac{1}{10})^{8} * (\frac{1}{5})^{8} : (\frac{1}{50})^{6} = \frac{1}{10^{8}} * \frac{1}{5^{8}} * 50^{6} = \frac{1}{10^{8}} * \frac{1}{5^{8}} * 5^{6} * 10^{6} = \frac{1}{10^{2}} * \frac{1}{5^{2}} = \frac{1}{100} * \frac{1}{25} = \frac{1}{2500}[/tex]
c)
[tex]= -(\frac{1}{2})^{6} * (\frac{1}{2})^{7} : (\frac{1}{20})^{13} = - \frac{1}{64} * \frac{1}{128} : \frac{1}{20^{13}} = - \frac{1}{64} * \frac{1}{128} * 8190000000000000 = - \frac{1}{128} * 1280000000000000 = -10000000000000[/tex]
d)
[tex]= \frac{2^{4} * 22^{4} }{22^{3}} = 2^{4} * 22 = 16 * 22 = 352[/tex]
e)
[tex]= \frac{64^{2} * 36^{2}}{6^{3} * 2^{7}} = \frac{12^{12} * 6^{4}}{6^{3} * 2^{7}} = 2^{5} * 6 = 32 * 6 = 192[/tex]
f)
[tex]= \frac{2^{12} * 2^{18}}{2^{25}} = \frac{2^{18}}{2^{13}} = 2^{5} = 32[/tex]
