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What is the last digit of \(2074^{35849}\)?

 Jun 25, 2020
 #1
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Last digits:

 

4^1 is 4

4^2 is 6

4^3 is 4

4^4 is 6...

 

35849 is odd, so it's 4.

 Jun 25, 2020
 #2
avatar+549 
+4

The last digit is 4. There’s a pattern: 4,6.... so just divide 35849 by 2. There’s a remainder of 1. So the answer is \(4\)

 Jun 25, 2020
edited by amazingxin777  Jun 29, 2020

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