Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

SWAG

  • 2 years ago

Anything raised to the zero power will equal 1. True False

  • This Question is Closed
  1. SWAG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @jazy

  2. SWAG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @jazy ?

  3. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @SWAG According to exponential rule, \[n^0=1\]

  4. rizwan_uet
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its trueeeee

  5. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is \[0^0\]?

  6. jazy
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    But\[0^0 = Undefined\]

  7. SWAG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so that makes it true?

  8. rizwan_uet
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes ofcourse

  9. asnaseer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @swag - do you know the following rule:\[\frac{x^a}{x^b}=x^{a-b}\]

  10. SWAG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No

  11. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think all the mods are in house today :D

  12. SWAG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Foreal iv never had so many people or moderators on my question before

  13. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 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.

  14. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it's a subtle issue really

  15. asnaseer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 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?

  16. cinar
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\Large \infty^0=?\]

  17. cinar
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well, you can say infinity is not a number, but still...

  18. SWAG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Right

  19. asnaseer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    who are you responding to there?

  20. SWAG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @asnaseer

  21. cinar
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it does not a number, it says anything (:

  22. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yeah :D

  23. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think @asnaseer originally showed me this: http://www.faqs.org/faqs/sci-math-faq/specialnumbers/0to0/#b

  24. asnaseer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok, so you should be able to see now that:\[\frac{x^4}{x^3}=x^{4-3}=x^1=x\]

  25. asnaseer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this is where the rule comes from. so, taking the rule:\[\frac{x^a}{x^b}=x^{a-b}\]if you let b=a, you get:\[\frac{x^a}{x^a}=x^{a-a}=x^0\]but:\[\frac{x^a}{x^a}=1\]therefore:\[x^0=1\]apart from the case where x=0

  26. cinar
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\Large N^0=1\]and \[ \Large 0^N=0\]but \[\Large 0^0=0 \] or \[\Large 0^0= 1 \]?

  27. jazy
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Anything raised to the zero power will equal 1. <---So this would be False, since not EVERY number follows this rule.

  28. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No it's debatable

  29. asnaseer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 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 \(0^0=1\)

  30. jazy
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay according to my notes in Algebra...it'd be true. I prefer going with what the lesson says. (;

  31. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    here's another good rundown of the trickyness in finding a direct answer http://www.askamathematician.com/2010/12/q-what-does-00-zero-raised-to-the-zeroth-power-equal-why-do-mathematicians-and-high-school-teachers-disagree/

  32. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think so that the answer is TRUE.

  33. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.