• uberrice@feddit.de
    11·
    1 year ago

    This is confidently wrong.

    3^0 is also 1. 2738394728^0 is also 1.

    Edit: just saw that technically you’re correct - sure.

    IF base 2, Exponent reduction equals to halving - dividing by 2.

    For x^y reducing y by one is equal to dividing by x, then we have the proof it always works.

    • Globulart@lemmy.world
      3·
      1 year ago

      But that’s because for 3 the sequence is dividing by 3 not 2.

      81, 27, 9, 3, 1, 1/3, 1/9, etc.

      3^4, 3^3, 3^2, 3^1, 3^0, 3^(-1), 3^(-2), etc.

      You’re not always halving, but the method is the same and it sometimes helps people understand the concept more easily.