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what is the least remainder when 17 power 30 is divided by 5

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the unit digit of 17^30 is 9. hence the remainder is 4.
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The answer to this question is very simple. its 4. Unit digit for 17^n, will be 7,9,3,1,7,9,3,1... so on. As you see it is getting same numbers after certain period, so if n=30, the unit digit will be 9. And remainder after dividing the value by 5 will be "4". :) :)
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