[tex]a) \ 5^{10}:5^{7} = 5^{10-7} = 5^{3} = 125\\\\b) \ (-2)^{9}:(-2)^{6} = (-2)^{9-6} = (-2)^{3} = -8\\\\c) \ (-2)^{3}\cdot3^{3} = (-2\cdot3)^{3} = (-6)^{3} = -216\\\\d) \ (-18)^{3}:6^{3} = (-18:6)^{3} = (-3)^{3} = -27\\\\e) \ (-3^{2})^{2} = (-3)^{2\cdot2} = (-3)^{4} = 81\\\\f) \ (-10^{3})^{2} = (-10)^{3\cdot2} = (-10)^{6} = 1 \ 000 \ 000[/tex]
