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pls help x3 Unit digit of: 2^857+3^927 and (diff Question) 2^857*3^927 Please show all work :) ty

 Jan 16, 2017
 #1
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Patterns for 2

 

2^1  = 2

2^2 = 4

2^3 = 8

2^4  = 16   and repeats   so    857 mod 4   =  1   so  2^857  ends in "2"

 

Patterns for 3

 

3^1  = 3

3^2  = 9

3^3  = 27

3^4  = 81    and repeats  so  927 mod 4 = 3   so  3&927 ends in "7"

 

So   2^857+3^927  ends in    2 + 7   = 9

And  2^857*3^927  ends in (2) (7)  = 4

 

 

 

cool cool cool

 Jan 16, 2017

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