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algebra math

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If 3 is raised to the 59th power, i.e. 359, what is the units digit? The units digit is the digit in the ones place. Explain the method used to find your answer.

  • algebra math -

    31=3
    32=9
    33=27
    34=81
    35=243
    ...
    So we conclude that 3 raised to any power divisible by 4 ends with a 1.
    Similarly, 3 raised to any power "divisible by 4 minus one", such as 3, 7, 11, ... ends with a 7.

    Can you figure out the answer for 3^59 (noting that 59=4*15-1)?

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