The remainder left out when 8^2n – (62)^2n +1 is divided by 9 is
The remainder left out when 82n – (62)2n +1 is divided by 9 is
(a) 2
(b) 7
(c) 8
(d) 0
5 views
1 Answers
(a) : Ist Solution : Using Modulo Arithmetic
8 = –1 (modulo 9) Also 62 = –1 (modulo 9)
⇒ 82n – (62)2n + 1 = [(–1)2n – (–1)2n + 1]mod 9
= (1 + 1)mod 9 = 2 mod 9 ⇒ Remainder = 2
5 views
Answered