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What is the remainder when 301^4 is divided by 10,000?

 Dec 6, 2019
 #1
avatar+5266 
0

301^4 = 8208541201 / 10000 = 820854.1201

 

So, it is 820,854 and 1,201/10000

 

The remainder is 1,201.

 Dec 6, 2019
 #2
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Any clod can use a calculator.

The point of the question, I think, is to do this without using a calculator,

and, hopefully, not having to go through the long multiplication either.

Guest Dec 6, 2019
 #3
avatar+28368 
+2

This can be tackled as follows:

 

 Dec 6, 2019

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