Question
What is the unit digit in {`(6374)^1793` x `(625)^317` x `(341)^491` } ?
Answer: Option A
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Unit digit in `(6374)^1793` = Unit digit in `(4)^1793`
= Unit digit in [`(4^2)^896` x 4 ]
= Unit digit in ( 6 x 4 ) = 4 .
Unit digit in `(625)^317` = Unit digit in `(5)^317` = 5.
Unit digit in `(341)^491 ` = Unit digit in `(1)^491` = 1
Required digit = Unit digit in ( 4 x 5 x 1 ) = 0.
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