Unit digit of 7^625 =?

7

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rahul699

  • Mar 21st, 2006
 

saurabh jyot singhnow first examine 7^1=77^2=497^3=3437^4=24017^5=16807hence after every 4 consecutive powers the unit's place follows the same patternhence to find 7^625 .. we can divide 625 by 4 ... which gives remainder 1 .. this has the same unit's place digit as 7^1if we had 7^626 .. then 626/4=2 ... hence unit's place digit = 9

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