Cześć!
Obliczenia
[tex](5^5\cdot5^{-3})^3:5^4=(5^{5+(-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}=\boxed{5^2}[/tex]
Wykorzystane wzory
[tex](a^m)^n=a^{m\cdot n}\\\\a^m\cdot a^n=a^{m+n}\\\\a^m:a^n=a^{m-n}[/tex]
