[tex]A) \ 8^{3}:2^{5} = (2^{3})^{3}:2^{5} = 2^{3\cdot3}:2^{5} = 2^{9}:2^{5} = 2^{9-5} = 2^{4}\\\\B) \ 125^{7}\cdot25^{4}:5^{7} = (5^{3})^{7}\cdot(5^{2})^{4}:5^{7} = 5^{21}\cdot5^{8}:5^{7} = 5^{29}:5^{7} = 5^{22}\\\\C) \ (3^{4}:3^{2})^{3} = (3^{2})^{3} = 3^{6}[/tex]
