Obliczenia
[tex]3^5\cdot3^{-8}=3^{5+(-8)}=3^{5-8}=3^{-3}=(\frac{1}{3})^3=\frac{1}{27}\\\\(\frac{5}{7})^{-6}\cdot(\frac{5}{7})^4=(\frac{5}{7})^{-6+4}=(\frac{5}{7})^{-2}=(\frac{7}{5})^2=\frac{49}{25}=1\frac{24}{25}\\\\(2\frac{1}{3})^5\cdot(2\frac{1}{3})^{-3}=(2\frac{1}{3})^{5+(-3)}=(2\frac{1}{3})^{5-3}=(2\frac{1}{3})^2=(\frac{7}{3})^2=\frac{49}{9}=5\frac{4}{9}[/tex]
[tex]3^4\cdot3^{-3}=3^{4+(-3)}=3^{4-3}=3^1=3\\\\2^3\cdot2^5\cdot2^{-2}\cdot2^2=2^{3+5+(-2)+2}=2^{10-2}=2^8=256[/tex]