Odpowiedź:
a) [tex]2^{3} * (12^{7} : 6^{7})=2^{3} *2^{7} =2^{10} =1024[/tex]
b) [tex]\frac{2^{5}*3^{5} }{6^{3} } =\frac{2^{5}*3^{5} }{3^{3}*2^{3} }=\frac{2^{2}*3^{5} }{3^{3} } =2^{2} *3^{2} =6^{2} =36[/tex]
c) [tex](2^{5} * 5^{5} ) : 10^{3} = 10^{5} :10^{3}=10^{2}=100[/tex]
d) [tex](-\frac{1}{2}) ^{2} *(-\frac{1}{2}) ^{4}*2^{7} = -(\frac{1}{2}) ^{2}*(\frac{1}{2}) ^{4}*2^{7}=-2^{-3} *2^{-4} *2^{7} = -2^{-3-4+7} =-2^{0} =-1[/tex]
e) [tex]0,1^{8} *0,2^{8}*0,02^{6}=(\frac{1}{10}) ^{8} * (\frac{1}{5}) ^{8}:(\frac{1}{50}) ^{6}=\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*10)^{6} = \frac{1}{10^{8} } *\frac{1}{5^{8} } * 5^{6} *10^{6} = \frac{1}{10^{8} } *\frac{1}{5^{2} }*10^{6} =\frac{1}{10^{2} } *\frac{1}{5^{2} }=\frac{1}{100} * \frac{1}{25} = \frac{1}{2500}[/tex]
