• Globulart@lemmy.world
    link
    fedilink
    arrow-up
    6
    ·
    edit-2
    9 months ago

    This isn’t strictly speaking a proof, but it did help me to accept it as it demonstrates the function that makes it 1.

    2^3 = 2x2x2

    2^2 = 2x2

    (23)/(22) = (2x2x2)/(2x2) = 2

    = 2^(3-2)

    In general terms:

    (xa)/(xb) = x^(a-b)

    If a and b are the same number this is x^0 and obviously (xa)/(xa) is one because anything divided by itself is 1.

    Hope that helps

      • Flumsy@feddit.de
        link
        fedilink
        arrow-up
        2
        arrow-down
        1
        ·
        9 months ago

        That was pretty complicated, here is a simpler answer I hsve come up with:

        1=(2x2x2)/(2x2x2)=2³/2³=2³⁻³=2⁰

        If that makes sense to you…