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What's the remainder for {10^100/19}?

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euler of 19 is 18 .. so (10^18)^5mod 19=1 . now we are left with 10^10 mod 19 . 100 mod 19 is 5. so 5*5*5*5*5 mod 19=125*25 mod 19 =11*6 mod 19 =9
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