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

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

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

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

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1Technically, 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.

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

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

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

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

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

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

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

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.1this 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

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

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

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.1if 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 \(0^0=1\)

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

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

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