Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Exponentiation
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Zero exponent=== As mentioned earlier, a (nonzero) number raised to the {{math|0}} power is {{math|1}}:<ref>{{cite book |title=Technical Shop Mathematics |last1=Achatz |first1=Thomas |page=101 |date=2005 |edition=3rd |publisher=Industrial Press |isbn=978-0-8311-3086-2 |url=https://books.google.com/books?id=YOdtemSmzQQC&pg=PA101}}</ref><ref name=":1"/> : <math>b^0=1.</math> This value is also obtained by the [[empty product]] convention, which may be used in every [[algebraic structure]] with a multiplication that has an [[multiplicative identity|identity]]. This way the formula : <math>b^{m+n}=b^m\cdot b^n</math> also holds for <math>n=0</math>. The case of {{math|0<sup>0</sup>}} is controversial. In contexts where only integer powers are considered, the value {{math|1}} is generally assigned to {{math|0<sup>0</sup>}} but, otherwise, the choice of whether to assign it a value and what value to assign may depend on context. {{Crossreference|For more details, see [[Zero to the power of zero]].}}
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)