find remainder when 2^1000 is divided by 3​

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find remainder when 2^1000 is divided by 3​

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Vivian 2 months 2021-09-25T05:40:00+00:00 1 Answer 0 views 0

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    2021-09-25T05:41:00+00:00

    Given :    2¹⁰⁰⁰ is divided by 3

    To Find :  Remainder

    Solution:

    2¹⁰⁰⁰

    = ( 3 – 1)¹⁰⁰⁰

    All terms will be divisible by 3 except last term  which will be

    (-1)¹⁰⁰⁰ =  1

    Hence remainder  =  1

    remainder when 2^1000 is divided by 3 is 1

    2ⁿ   divided by 3

    remainder is  1  we n is even

    remainder is 2  if n is odd

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