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    OlympiadMediumNumber Theory7–9

    What is the last digit of 320233^{2023}?

    Qual é o último dígito de 320233^{2023}?

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    Solution

    Powers of 3 cycle: 3,9,7,1. 2023 mod 4=32023 \bmod 4 = 3. Last digit =7= 7.