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hba Group TitleBest ResponseYou've already chosen the best response.1
@SWAG According to exponential rule, \[n^0=1\]
 2 years ago

rizwan_uet Group TitleBest ResponseYou've already chosen the best response.0
its trueeeee
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
what is \[0^0\]?
 2 years ago

jazy Group TitleBest ResponseYou've already chosen the best response.1
But\[0^0 = Undefined\]
 2 years ago

SWAG Group TitleBest ResponseYou've already chosen the best response.1
so that makes it true?
 2 years ago

rizwan_uet Group TitleBest ResponseYou've already chosen the best response.0
yes ofcourse
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
@swag  do you know the following rule:\[\frac{x^a}{x^b}=x^{ab}\]
 2 years ago

hba Group TitleBest ResponseYou've already chosen the best response.1
I think all the mods are in house today :D
 2 years ago

SWAG Group TitleBest ResponseYou've already chosen the best response.1
Foreal iv never had so many people or moderators on my question before
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
Technically, most of the time \(0^0\) is regarded as undefined, but some mathematicians implement the idea that \(0^0=1\) when the feel that it "makes more sense" so to speak.
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
it's a subtle issue really
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
take a simple case:\[\frac{x^4}{x^3}=\frac{x\times x\times x\times x}{x\times x\times x}=x\]agreed?
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
\[\Large \infty^0=?\]
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
well, you can say infinity is not a number, but still...
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
who are you responding to there?
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
it does not a number, it says anything (:
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
I think @asnaseer originally showed me this: http://www.faqs.org/faqs/scimathfaq/specialnumbers/0to0/#b
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
ok, so you should be able to see now that:\[\frac{x^4}{x^3}=x^{43}=x^1=x\]
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
this is where the rule comes from. so, taking the rule:\[\frac{x^a}{x^b}=x^{ab}\]if you let b=a, you get:\[\frac{x^a}{x^a}=x^{aa}=x^0\]but:\[\frac{x^a}{x^a}=1\]therefore:\[x^0=1\]apart from the case where x=0
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
\[\Large N^0=1\]and \[ \Large 0^N=0\]but \[\Large 0^0=0 \] or \[\Large 0^0= 1 \]?
 2 years ago

jazy Group TitleBest ResponseYou've already chosen the best response.1
Anything raised to the zero power will equal 1. <So this would be False, since not EVERY number follows this rule.
 2 years ago

hba Group TitleBest ResponseYou've already chosen the best response.1
No it's debatable
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
if you look at the link @TuringTest posted above, it states under the section "The following is a list of reasons why 0^0 should be 1." some reasons as to why we generally regard \(0^0=1\)
 2 years ago

jazy Group TitleBest ResponseYou've already chosen the best response.1
Okay according to my notes in Algebra...it'd be true. I prefer going with what the lesson says. (;
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
here's another good rundown of the trickyness in finding a direct answer http://www.askamathematician.com/2010/12/qwhatdoes00zeroraisedtothezerothpowerequalwhydomathematiciansandhighschoolteachersdisagree/
 2 years ago

hba Group TitleBest ResponseYou've already chosen the best response.1
I think so that the answer is TRUE.
 2 years ago
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