Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
If (y+1)^(2/3)=9 then (y+1) = 9^(3/2) Now what is 9^(3/2) equal to?
 one year ago

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
\[\sqrt[2]{9^{3}}\]
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
Yes, what is the value of that expression. Hint: \( 9^{3/2} = (9^{1/2})^3 = ... \)
 one year ago

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
I'm not sure... \[729^{1/2}\]
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
where do you get the 1/2?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
\[ \frac{3}{2} = 3 \times \frac{1}{2} \] hence \[ 9^{3/2} = (9^{1/2})^3 \]
 one year ago

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
where do we go from there?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
26! You are a great help! Can u help me with another problem?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
Do you understand this one?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
Post your new problem as a new problem
 one year ago
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
 Engagement 19 Mad Hatter
 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.