Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

sparky16

(y+1)^(2/3)=9

  • one year ago
  • one year ago

  • This Question is Closed
  1. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    Solve

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

    If (y+1)^(2/3)=9 then (y+1) = 9^(3/2) Now what is 9^(3/2) equal to?

    • one year ago
  3. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sqrt[2]{9^{3}}\]

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

    Yes, what is the value of that expression. Hint: \( 9^{3/2} = (9^{1/2})^3 = ... \)

    • one year ago
  5. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm not sure... \[729^{1/2}\]

    • one year ago
  6. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    ???

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

    Yes, but it's easier to write it the way I have because the square root of 9 is 3. Hence \[ 9^{3/2} = (9^{1/2})^3 = 3^3 = 27 \]

    • one year ago
  8. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    where do you get the 1/2?

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

    \[ \frac{3}{2} = 3 \times \frac{1}{2} \] hence \[ 9^{3/2} = (9^{1/2})^3 \]

    • one year ago
  10. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    where do we go from there?

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

    \[ 9^{3/2} = 9^{3 \times 1/2} = 9^{ 1/2 \times 3} = (9^{1/2})^3 = 3^3 = 27\] Now \( (y+1)^{2/3} = 9 \) is equivalent to \[ [(y+1)^{2/3}]^{3/2} = 9^{3/2} \] i.e., \[ (y+1)^1 = 27 \] i.e., \[ y + 1 = 27 \] Thus \( y = ... \)

    • one year ago
  12. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    26! You are a great help! Can u help me with another problem?

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

    Do you understand this one?

    • one year ago
  14. sparky16
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

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

    Post your new problem as a new problem

    • one year ago
    • Attachments:

See more questions >>>

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.