#x^0 confusion

7 messages · Page 1 of 1 (latest)

stray prawn
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I'm getting very confused on how x^0 = 1

If we break it down exponentially and divide:

exponent of 3 = (1) * X * X * X
then to get to
exponent of 2 = (1) * X * X (dividing an X)
then to get to
exponent of 1 = (1) * X ( dividing an additional X)
THEN to get to an exponent of 0, you would be left with (1)

This makes sense.

But how does 7^0 automatically mean 1? 7^n for example is 7 to the nth power, but a power of 0 would mean 7 is multiplied by nothing, so it should still be 7(explaining where I'm currently at mentally, where my logic is hitting a wall)

What I don't understand is doing the above and going from 7^3 to 7^0 somehow automatically flips the 7^0 to a 1.

I'm assuming it has something to do with the quantity being divided by itself, but I don't get how to prove that from x^0 itself. If I was just given 7^0 and somebody told me to 'prove' 7^0 = 1, how would I do so?

tight furnaceBOT
stray prawn
#

nvm it clicked

shadow sentinel
#

bro really typed allat out and 4 minutes later was like "nvm I understand it now"

stray prawn
wheat tiger
#

wait what the awnser then? i wanna know!!