[tex]a) \ (6^{3})^{4}\cdot(6^{2})^{3} = 6^{12}\cdot6^{6}=6^{18}\\\\b) \ (7^{2})^{5}\cdot(7^{5})^{2} = 7^{10}\cdot7^{10} =7^{20}\\\\c) \ ((\frac{1}{3})^{3})^{3}\cdot((\frac{1}{3})^{2})^{2} = (\frac{1}{3})^{9}\cdot(\frac{1}{3})^{4} = (\frac{1}{3})^{13}[/tex]
[tex]d) \ (5^{8})^{7}:(5^{6})^{8} = 5^{56}:5^{48} = 5^{8}\\\\e) \ (0,6^{4})^{5}:(0,6^{7})^{2} = 0,6^{20}:0,6^{14} = 0,6^{6}\\\\f) \ ((\frac{5}{7})^{3})^{8}:((\frac{5}{7})^{2})^{10} = (\frac{5}{7})^{24}:(\frac{5}{7})^{20} =(\frac{5}{7})^{4}[/tex]
Wyjaśnienie
Wykorzystano własności potegowania
[tex](a^{m})^{n} = a^{m\cdot n}\\\\a^{m}\cdot a^{n} =a^{m+n}\\\\a^{m}:a^{n} = a^{m-n}[/tex]
