Question

a) 3^2×5+3^2×7
b) 2025^2019-2024×2025^2018
c) (7^10-7^9):(7^9-7^8)
d) 5^3×2^6-5^3×7^2

Answer 1

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