А)8^11-8^10-8^9/4^15-4^14-4^13 б) 27^5-27⁴/9³+9^7+9^6 - вопрос №8118108941541441327527997967480388 от cot579 01.10.2020 02:35

Question

Алгебра: А)8^11-8^10-8^9/4^15-4^14-4^13 б) 27^5-27⁴/9³+9^7+9^6 сократите дроби

cot579 · Answer

А) 8¹¹-8¹⁰-8⁹ / 4¹⁵-4¹⁴-4¹³ = 8⁹(8²-8-1) / 4¹³(4²-4-1) = (2³)⁹(64-8-1) / (2²)¹³(16-4-1) =
= 2²⁷ *55 / 2²⁶ * 11 = 2*5 = 10

б) 27⁵-27⁴ / 9⁸+9⁷+9⁶ = 27⁴(27-1) / 9⁶(9²+9+1) = 27⁴ * 26 / 9⁶(81+9+1) =
= (3³)⁴ * 26 / (3²)⁶ * 91 = 3¹² * 26 / 3¹² * 91 = 2/7