Algebra

Find the largest three-digit number that can be written in the form $3^m + 2^n$, where $m$ and $n$ are positive integers.

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  1. 3^m + 2^n

    powers of 2: 2,4,8,16,32,64,128,256,512
    powers of 3: 3,9,27,81,243,729

    729+256 = 985
    243+512 = 755

    Looks like 985 is the winner

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