Find the last digit of 4^2081 no calculator

Discussion in 'Calculator Requests' started by math_celebrity, Dec 13, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Find the last digit of 4^2081 no calculator

    4^1= 4
    4^2 = 16
    4^3 = 64
    4^4 = 256
    4^5 = 1024
    4^6 = 4096

    Notice this pattern alternates between odd exponent powers with the result ending in 4 and even exponent powers with the result ending in 6.

    Since 2081 is odd, the answer is 4.

     

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