2002 Math OSP, Number 16
Number Theory
Level
3
What is the remainder of divided by 100 ?
The answer is 7.
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1 solution
It can be written as 43^4k+3=43^4k ×43^3, now the last two digit of 43^4k is 01 and last two digit of 43^3 is 07...so the last two digit of 43^43^43 is 07 and the ans is 7