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Unit digit of 7^625 =?
7




  
Total Answers and Comments: 1 Last Update: March 21, 2006   
  
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March 21, 2006 15:14:53   #1  
rahul699 Member Since: March 2006   Contribution: 3    

RE: Unit digit of 7^625 =?
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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Latest Answer : 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 ...


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