Odpowiedź:
Szczegółowe wyjaśnienie:
a) [tex]2^8*5^9=5*2^8*5^8=5(2*5)^8=5*10^8=500000000[/tex]
b) [tex]0,2^5*5^4= (\frac{1}{5} )^5*5^4= (5^{-1})^5*5^4=5^{-5}*5^4=5^{-5+4}=5^{-1}=\frac{1}{5}[/tex]
c) [tex](\frac{2}{3} )^{10}:(\frac{4}{9})^6=\frac{(\frac{2}{3} )^{10}}{(\frac{4}{9})^6} =\frac{(\frac{2}{3} )^{10}}{((\frac{2}{3})^2)^6} =\frac{(\frac{2}{3} )^{10}}{(\frac{2}{3})^{12}} =(\frac{2}{3} )^{10-12}=(\frac{2}{3} )^{-2}=(\frac{3}{2} )^{2}=\frac{9}{4}[/tex]
