Hej!
Obliczenia :
[tex]a] \ 2^3\cdot3^3=(2\cdot3)^3=6^3\\\\b] \ 6^7\cdot6^{10}=6^{7+10}=6^{17}\\\\c] \ 8^9:4^9=(8:4)^9=2^9\\\\d] \ 2^{100}:2^{99}=2^{100-99}=2^1\\\\e] \ 10^{10}:10^{-2}=10^{10-(-2)}=10^{10+2}=10^{12}\\\\f] \ 3^{2^5}=3^{2\cdot2\cdot2\cdot2\cdot2}=3^{32}[/tex]
Wykorzystane wzory działań na potęgach :
[tex]a^m\cdot b^m=(a\cdot b)^m\\\\a^m:b^m=(a:b)^m\\\\a^m\cdot a^n=a^{m+n}\\\\a^m:a^n=a^{m-n}[/tex]
