0^0

This topic has expert replies
User avatar
Legendary Member
Posts: 866
Joined: Mon Aug 02, 2010 6:46 pm
Location: Gwalior, India
Thanked: 31 times

0^0

by goyalsau » Thu Dec 23, 2010 8:01 am
What is 0^0 :?: :?: :?: :?: :?: :?: :?:
Saurabh Goyal
[email protected]
-------------------------


EveryBody Wants to Win But Nobody wants to prepare for Win.

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Thu Dec 23, 2010 8:17 am
This is a much debated topic in mathematics for years.
To be frank value for zero raised to the power zero depends upon where you need it. Sometimes it is taken as 1 and sometimes as indeterminate (not infinity). Consider the following cases,
(1) In combinatorial or set theoretic approach zero raised to the power zero is equal to 1. This is because it represents some event that is not happening at all which is considered as a single event.
(2) In differential calculus and limit theory most of the time zero raised to the power zero is indeterminate.

Note: For GMAT purpose generally you'll never need this debated concept.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/