70 POINTS!! I’LL GIVE THE BRAINLIEST TO THE BEST ONE! YOU’LL GET REPORTED FOR TROLL ANSWER Find the remainder of [tex] \fra

Question

70 POINTS!! I’LL GIVE THE BRAINLIEST TO THE BEST ONE! YOU’LL GET REPORTED FOR TROLL ANSWER

Find the remainder of
\frac{ {2021}^{2021} }{19}
​

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Amity 3 years 2021-08-25T03:38:19+00:00 2 Answers 10 views 0

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  1. King
    0
    2021-08-25T03:39:57+00:00
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    Answer:

    give the last guy brainliest. he’s earned it UwU

  2. vankhanh
    0
    2021-08-25T03:40:06+00:00
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    Divide 2021 by 19:

    2021/19 = 106.3684 = 106 * 19 + 7

    Now calculate the remainder of 7^2021

    7^1 = 7

    7^2 = 49 = 2*19 + 11

    7^3 = 343 = 18*19 + 1

    7^4 = 2394* 19 + 7

    The pattern repeats 7, 11 , 1

    So for every time the exponent is increased by 10, the remainder is is the same. ( so a starting value of 1 would have a remainder of 7.

    This means the remainder of 2021^2021/19 would be 7

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