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hbaBest ResponseYou've already chosen the best response.1
@SWAG According to exponential rule, \[n^0=1\]
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
@swag  do you know the following rule:\[\frac{x^a}{x^b}=x^{ab}\]
 one year ago

hbaBest ResponseYou've already chosen the best response.1
I think all the mods are in house today :D
 one year ago

SWAGBest ResponseYou've already chosen the best response.1
Foreal iv never had so many people or moderators on my question before
 one year ago

TuringTestBest 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.
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
it's a subtle issue really
 one year ago

asnaseerBest 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?
 one year ago

cinarBest ResponseYou've already chosen the best response.0
well, you can say infinity is not a number, but still...
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
who are you responding to there?
 one year ago

cinarBest ResponseYou've already chosen the best response.0
it does not a number, it says anything (:
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
I think @asnaseer originally showed me this: http://www.faqs.org/faqs/scimathfaq/specialnumbers/0to0/#b
 one year ago

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

asnaseerBest 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
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[\Large N^0=1\]and \[ \Large 0^N=0\]but \[\Large 0^0=0 \] or \[\Large 0^0= 1 \]?
 one year ago

jazyBest 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.
 one year ago

asnaseerBest 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 \(0^0=1\)
 one year ago

jazyBest 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. (;
 one year ago

TuringTestBest 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/
 one year ago

hbaBest ResponseYou've already chosen the best response.1
I think so that the answer is TRUE.
 one year ago
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