A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Rewrite in simplest radical form 1 x −3 6 . Show each step of your process.

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1437531698638:dw|

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @ospreytriple

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    First, I would reduce the exponent of x. What do you get?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -1/2

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Right on. So now you have\[\frac{ 1 }{ x ^{-\frac{ 1 }{ 2 }} }\]Is that right?

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OK, I hope you will agree that\[\frac{ 1 }{ x ^{-\frac{ 1 }{ 2 }} } = \left( \frac{ 1 }{ x } \right)^{-\frac{ 1 }{ 2 }}\]You OK with that?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Perfect. Now, to invert the base, you must change the sign of the exponent. For example,\[3^{-2} = \left( \frac{ 1 }{ 3 } \right)^{2}\] or\[\left( \frac{ 1 }{ 4 } \right)^{5} = 4^{-5}\]Gwt the idea? You need to do the same thing with\[\left( \frac{ 1 }{ x } \right)^{-\frac{ 1 }{ 2 }}\]What do you get?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x to the pwer of 2?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Don't invert the exponent, just change its sign. Invert the BASE, and change the sign on the EXPONENT. Try again?

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x to the power of 1/2?

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Perfect. Now write it in radical form.

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    In general, fractional exponents are written in radical form like this:\[x ^{\frac{ a }{ b }} = \sqrt[b]{x ^{a}}\]

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sqrt{x}\]

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well done!

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you again!

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.