the unit digit of (6717)^103
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There is very simple rule for finding unit’s digit -
There is very simple rule for finding unit’s digit -Consider only unit’s place digit in base no. Which is 4 in this case. ( here base no. is 264)
There is very simple rule for finding unit’s digit -Consider only unit’s place digit in base no. Which is 4 in this case. ( here base no. is 264)Now remember powers of some no.s as-
There is very simple rule for finding unit’s digit -Consider only unit’s place digit in base no. Which is 4 in this case. ( here base no. is 264)Now remember powers of some no.s as-1^any power = 1
There is very simple rule for finding unit’s digit -Consider only unit’s place digit in base no. Which is 4 in this case. ( here base no. is 264)Now remember powers of some no.s as-1^any power = 13^4 = 1
There is very simple rule for finding unit’s digit -Consider only unit’s place digit in base no. Which is 4 in this case. ( here base no. is 264)Now remember powers of some no.s as-1^any power = 13^4 = 14^even no. = 6
4^odd no. = 4
4^odd no. = 45^any power = 5
4^odd no. = 45^any power = 56^any power = 6
4^odd no. = 45^any power = 56^any power = 67^4 = 1
4^odd no. = 45^any power = 56^any power = 67^4 = 13. So, here the question is (264)^102
4^odd no. = 45^any power = 56^any power = 67^4 = 13. So, here the question is (264)^102That is case of - 4^even no.
4^odd no. = 45^any power = 56^any power = 67^4 = 13. So, here the question is (264)^102That is case of - 4^even no.Hence ansswer is 6.
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