• jendrik@discuss.tchncs.de
    142·
    9 months ago

    subtracting one from Exponent means halving (when the base is two):

    2⁴ = 16 2³ = 8 2² = 4 2¹ = 2 2⁰ = 1

    It’s a simple continuation of the pattern and required for mathemarical rules to work.

    • uberrice@feddit.de
      01·
      9 months 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.