Question

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

Answer 1

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