A community for students.
Here's the question you clicked on:
 0 viewing
SWAG
 3 years ago
Anything raised to the zero power will equal 1.
True
False
SWAG
 3 years ago
Anything raised to the zero power will equal 1. True False

This Question is Closed

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

asnaseer
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1I think all the mods are in house today :D

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

TuringTest
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1it's a subtle issue really

asnaseer
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0well, you can say infinity is not a number, but still...

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

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

TuringTest
 3 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
 3 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
 3 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
 3 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
 3 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
 3 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
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1I think so that the answer is TRUE.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.