[tex]a) 3^{2} *(5+7) = 3^{2} * 12 = 3^{3} *2^{2} = 27 * 4 = 108\\b) 2025^{2018} * (2025-2024) = 2025^{2018} * 1 = 2025^{2018} \\c) [7^{9} * (7-1)]:[7^{8} * (7-1)] = (7^{9} * 6):(7^{8} * 6) = 7\\d) 5^{3} * (2^{6} - 7^{2} ) = 5^{3} * (64 - 49) = 5^{3} * 15 = 5^{4} * 3 = 625 * 3 = 1875[/tex]