Grade 12th passAlgebra
What is the remainder obtained by dividing 2^1024 by 5
1 Answer
Nikhil
Approved Tutor Answer8 Years agodear friend,
as we go following sequence
2/5 rem. =2 4/5 rem.=4 8/5 rem.=3 16/5 rem.=1
32/5 rem. =2
so you can see that the sequence of reminders star repeating after 4 powers
so simply divide 1024 by 4 reminder comes out 0
so the reminder which comes out on dividing 2^0 = 1 by 5 will be same that in case of 2^1024 dividing by 5 i.e. 1
so correct answer is 1
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