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submitted 1 year ago* (last edited 1 year ago) by hypertown@lemmy.world to c/memes@lemmy.ml

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[–] jendrik@discuss.tchncs.de 0 points 1 year ago (1 children)

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 0 points 1 year ago* (last edited 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.