Question
Find the remainder when 3⁶⁵ is divided by 8.
Solution
3¹ ≡ 3 (mod 8) 3² = 9 ≡ 1 (mod 8) Powers of 3 mod 8 repeat every 2: 3, 1, 3, 1, ... Since 65 is odd, 3⁶⁵ ≡ 3¹ ≡ 3 (mod 8) Remainder = 3
More Surds and indices Questions
In living plant cell conversion of Pyruvic acid into CO₂ and energy is called
Cauliflorous bearing habit i.e fruits are borne on trunk and branches, is found in which horticultural crop?
Vertical standards are:
Match List I with List II
