## 0^0=1!

For discussing Olympiad Level Algebra (and Inequality) problems
SINAN EXPERT
Posts: 38
Joined: Sat Jan 19, 2019 3:35 pm
Contact:

### 0^0=1!

Yeah, that's not any joke! I'm really gonna prove that!
We know, $2^6=64$
Again, $2^6=(2+0)^6=6_{C_0}2^60^0+6_{C_1}2^50^1+6_{C_2}2^40^2+...=64*0^0$ $⇒64=64*0^0$
Which is a clear proof of $0^0=1$.
True to say, I haven't found any mistake here.
$The$ $only$ $way$ $to$ $learn$ $mathematics$ $is$ $to$ $do$ $mathematics$. $-$ $PAUL$ $HALMOS$

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: 0^0=1!

SINAN EXPERT wrote:
Wed Apr 24, 2019 4:57 pm
Yeah, that's not any joke! I'm really gonna prove that!
We know, $2^6=64$
Again, $2^6=(2+0)^6=6_{C_0}2^60^0+6_{C_1}2^50^1+6_{C_2}2^40^2+...=64*0^0$ $⇒64=64*0^0$
Which is a clear proof of $0^0=1$.
True to say, I haven't found any mistake here.
Why $64\times 0^0=64$?

SINAN EXPERT
Posts: 38
Joined: Sat Jan 19, 2019 3:35 pm
Contact:

### Re: 0^0=1!

samiul_samin wrote:
Thu May 16, 2019 10:36 am
Why $64\times 0^0=64$?
$2^6=(2+0)^6⇒64=64*0^0$
$The$ $only$ $way$ $to$ $learn$ $mathematics$ $is$ $to$ $do$ $mathematics$. $-$ $PAUL$ $HALMOS$

NABILA
Posts: 35
Joined: Sat Dec 15, 2018 5:19 pm
Location: Munshigonj, Dhaka

### Re: 0^0=1!

Give some logic. It's still not clear