[tex](5^{5}\cdot5^{-3})^{3}:5^{4}=(5^{5+(-3)})^{3}:5^{4} = (5^{2})^{3}:5^{4} = 5^{2\cdot3}:5^{4} = 5^{6}:5^{4} = 5^{6-4} = 5^{2}[/tex]
Korzystamy z własności potęg:
[tex]a^{m}\cdot a^{n} = a^{m+n}\\\\a^{m}:a^{n} = a^{m-n}\\\\(a^{m})^{n} = a^{m\cdot n}[/tex]
