a) (12^12 24^24) / (21^21 42^42) = ((2^2 3)^12 (2^3 3 2^3)^24) / ((3 7)^21 (2 3 7 2 3)^42) = (2^24 3^12 2^72 3^24) / (3^21 7^21 2^42 3^42 7^42) = 2^96 3^36 / 3^63 7^21 2^42 3^42 7^42 = 2^54 * 7^21
Ответ: 2^54 * 7^21
б) (6^15 + 2^58) / (6^43 + 3^58) = (2^32 3^15 + 2^58) / (2^43 3^58 + 3^58) = 2^32 3^15 + 2^58 / 2^43 3^58 + 3^58 = 2^32 3^15 + 2^58 / 3^58 (2^43 + 1) = 2^32 3^15 + 2^58 / 3^58 (2^43 + 1) = 2^32 3^15 + 2^58 / 3^58 (2^43 + 1)
Ответ: 2^32 3^15 + 2^58 / 3^58 (2^43 + 1)
a) (12^12 24^24) / (21^21 42^42) = ((2^2 3)^12 (2^3 3 2^3)^24) / ((3 7)^21 (2 3 7 2 3)^42) = (2^24 3^12 2^72 3^24) / (3^21 7^21 2^42 3^42 7^42) = 2^96 3^36 / 3^63 7^21 2^42 3^42 7^42 = 2^54 * 7^21
Ответ: 2^54 * 7^21
б) (6^15 + 2^58) / (6^43 + 3^58) = (2^32 3^15 + 2^58) / (2^43 3^58 + 3^58) = 2^32 3^15 + 2^58 / 2^43 3^58 + 3^58 = 2^32 3^15 + 2^58 / 3^58 (2^43 + 1) = 2^32 3^15 + 2^58 / 3^58 (2^43 + 1) = 2^32 3^15 + 2^58 / 3^58 (2^43 + 1)
Ответ: 2^32 3^15 + 2^58 / 3^58 (2^43 + 1)