[tex]A) \ (3^{5})^{3} =3^{5\cdot3} = 3^{15}\\\\B) \ 3^{9}\cdot3^{6} = 3^{9+6} = 3^{15}\\\\C) \ 9^{15}:3 = (3^{2})^{15}:3 = 3^{2\cdot15}:3 = 3^{30}:3 = 3^{30-1} = 3^{29} \neq 3^{15}\\\\D) \ 3^{17}:9 = 3^{17}:3^{2} = 3^{17-2} = 3^{15}\\\\E) \ 3\cdot3^{14} = 3^{1+14} = 3^{15}\\\\Odp. \ C)[/tex]
Wyjaśnienie:
[tex](a^{m})^{n} = a^{m\cdot n}\\\\a^{m}\cdot a^{n} = a^{m+n}\\\\a^{m}:a^{n} = a^{m-n}[/tex]
