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What is ones digit of the product when twenty 3's are multiplied?

 Mar 11, 2016
 #1
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Note the pattern for n ≥ 0....where n is an integer

 

3^[1+ 4n]    ends in 3

3^[2 + 4n]   ends in 9

3^[3 + 4n]   ends in 7

3^[4 + 4n]   ends in 1

 

So  

 

3^20  = 3^[4 + 4*4]   ends in 1  

 

 

 

cool cool cool

 Mar 12, 2016

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