Thread 16760724

10 to the power of 0 is 1

so you're telling me the exp function is continuous at x = 0
dayum daz crazy muh frog nigga

>>16760724 (OP)
What's "power of 0" mean? Like you don't multiply anything by anything?

>>16760743
Exactly.

>>16760748
So yeah, it's 1

>>16760743
Wrong. You do multiply anything by anything exactly zero times.

>>16760762
Zero means nothing happened, no?

>>16760763
Nothing ever happens, yes. Learn group theory.

>>16760771
So yeah, it's 1

>>16760743
>>16760724 (OP)
There are 10 ways to arrange 0 items with only 1 replacement
How do you not know this

>>16760799
Arranging "0 items" is so stupid. Stop it.

Empty product chud

>>16760801
The only answer that sticks to everything like your mom's trident under her desk

>>16760806
Women need three prongs to get off? Wtf is wrong with them

>>16760815
Trident is a chewing gum my friend.

>>16760799
bro if you dont have any items how are you arranging them?

Multiplicative identity from ring structure

>>16760724 (OP)
luv the empty product

Lesbian couples use dildos to have sex

>>16761018
isn't that like a straight man fucking a hairy man ass doll while having sex with his woman?

>>16760800
Empty [clap] Set[clap]!

>>16761022
wat

>>16760743
>(a^b)/(a^c) = a^(b-c)
>(a^b)/(a^b) = 1 and a^(b-b)
>b-b = 0
>a^0 = 1 for any number a
QED.

>>16760724 (OP)
Yes, because if you multiply by nothing the base you get the same base

>>16760800
stop using "0" altogether. it's fake, gay, and we did just fine without it for hundreds of years. "i want 0 apples" - are you fucking retarded?

>>16760806
>tries to make his joke sound smoother by referencing a company rather than just saying chewing gum like a normal person
>fails; earns confusion and mockery

>>16762376
found the virgin

Depends on the context

>>16760799
How many ways can you draw 0 items from an urn with 10 balls? Exactly 1.

>>16760724 (OP)
0 to the power of 0 is 1

>>16762807
1 undefined value just like 0/0.

>>16762807
0 power equalizes all numbers, apart from 0.

>>16762843
0^0 doesn't ask for the unique inverse of a nilpotent like 0/0 does. Anything^0 just means you're not doing any multiplication. The background for multiplication is 1, so not doing any multiplication just leaves you with the background, 1.

>0th root is now undefinable
mathematicians are so fucking short sighted

>>16763005
What's the 0th root?

>>16763008
root of degree 0
the zeroth root of number x is r, which when raised to 0 becomes x.
the a^0 = 1 shit makes it undefinable. even if x is 1, r is the highest order of undecidable. in otherwords, this definition introduces yet more inconsistencies and algebraic singularities where they need not exist. may as well have just left it undefined.

>>16763008
a^(1/0)

>>16763013
Bad definition, its assumes a prior stupid thing.
>>16763012
What's "raised to 0 becomes x" mean?

>>16763024
r^0 = x

>>16763028
^0 means you're not doing any multiplication, so you only have the background, 1.

>>16763029
or you could just leave it undefined

>>16763106
Why would you do that if the obvious defintion were 1?

>>16763109
why would it be obvious that it gives the unit of the operation one rank below it?

>>16763120
What's a rank and a rank below it?

>>16762807
>>16760933

>>16763134
True.

>>16762871
>Anything^0 just means you're not doing any multiplication
Outside of x=1, you have to be multiplying by something to get from x to 1.

>>16760724 (OP)
You meant ".000[...]1". It infinitely divides, same for dividing by zero, its just inverted multiplication.

>>16767268
No, 1^0 means you're not doing any multiplication. ^0 attached to anything means you're not doing multiplication.