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А) 3^10 / 3^9 = 3^(10-9) = 3 Б) 3^9 / 3^10 = 3^(9-10) = 3^(-1) = 1/3 В) 2^16 / 2^14 = 2^(16-14) = 2^2 = 4 Г) 2^14 / 2^16 = 2^(14-16) = 2^(-2) = 1/4 Д) 10^32 / 10^29 = 10^(32-29) = 10^3 = 1000 Е) 10^29 / 10^32 = 10^(29-32) = 10^(-3) = 1/1000 Ё) 57^2014 / 57^2013 = 57^(2014-2013) = 57 Ж) (2^7 * 3^8) / (2^5 * 3^11) = 2^(7-5) * 3^(8-11) = 2^2 * 3^(-3) = 4 / 27 = 4/27 З) (3^11 * 5^11) / (3^9 * 5^13) = 3^(11-9) * 5^(11-13) = 3^2 * 5^(-2) = 9 / 25 = 9/25 И) (7^10 * 11^13) / (7^9 * 11^14) = 7^(10-9) * 11^(13-14) = 7 * 11^(-1) = 7 / 11 = 7/11 Й) (5^11 * 19^17) / (19^18 * 5^13) = 5^(11-13) * 19^(17-18) = 5^(-2) * 19^(-1) = 1 / (25 * 19) = 1/475 К) (2^57 * 3^2013) / (3^2014 * 2^60) = 2^(57-60) * 3^(2013-2014) = 2^(-3) * 3^(-1) = 1 / (8 * 3) = 1/24 Л) (2^3 * 3^6 * 5^2) / (2^2 * 3^5 * 5^4) = 2^(3-2) * 3^(6-5) * 5^(2-4) = 2 * 3 * 5^(-2) = 6 / 25 = 6/25 М) (3^8 * 5^11 * 7^22) / (3^9 * 5^10 * 7^23) = 3^(8-9) * 5^(11-10) * 7^(22-23) = 3^(-1) * 5 * 7^(-1) = 5 / (3 * 7) = 5/21 Н) (3^9 * 7^10 * 11^5) / (3^11 * 7^8 * 11^6) = 3^(9-11) * 7^(10-8) * 11^(5-6) = 3^(-2) * 7^2 * 11^(-1) = (49) / (9 * 11) = 49/99 О) (2^10 * 5^6 * 11^33) / (2^12 * 5^9 * 11^31) = 2^(10-12) * 5^(6-9) * 11^(33-31) = 2^(-2) * 5^(-3) * 11^2 = (121) / (4 * 125) = 121/500 П) (2^14 * 3^6 * 19^7) / (2^9 * 3^7 * 19^8) = 2^(14-9) * 3^(6-7) * 19^(7-8) = 2^5 * 3^(-1) * 19^(-1) = (32) / (3 * 19) = 32/57 Р) (11^17 * 3^15) / (11^18 * 9^8) = (11^17 * 3^15) / (11^18 * (3^2)^8) = (11^17 * 3^15) / (11^18 * 3^16) = 11^(17-18) * 3^(15-16) = 11^(-1) * 3^(-1) = 1 / (11 * 3) = 1/33 С) (2^15 * 7^4) / (4^8 * 7^3) = (2^15 * 7^4) / ((2^2)^8 * 7^3) = (2^15 * 7^4) / (2^16 * 7^3) = 2^(15-16) * 7^(4-3) = 2^(-1) * 7 = 7/2 = 7/2 Т) (25^11 * 3^45) / (5^24 * 9^22) = ((5^2)^11 * 3^45) / (5^24 * (3^2)^22) = (5^22 * 3^45) / (5^24 * 3^44) = 5^(22-24) * 3^(45-44) = 5^(-2) * 3 = 3/25 = 3/25 У) (8^11 * 7^34) / (2^35 * 49^17) = ((2^3)^11 * 7^34) / (2^35 * (7^2)^17) = (2^33 * 7^34) / (2^35 * 7^34) = 2^(33-35) * 7^(34-34) = 2^(-2) * 1 = 1/4 = 1/4 Ф) (100^10 * 7^11) / (10^23 * 49^6) = ((10^2)^10 * 7^11) / (10^23 * (7^2)^6) = (10^20 * 7^11) / (10^23 * 7^12) = 10^(20-23) * 7^(11-12) = 10^(-3) * 7^(-1) = 1 / (1000 * 7) = 1/7000