What is the remainder when 301^4 is divided by 10,000?
301^4 = 8208541201 / 10000 = 820854.1201
So, it is 820,854 and 1,201/10000
The remainder is 1,201.
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.
This can be tackled as follows:
+5265 
