A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
what is x^2/3 64=0
anonymous
 one year ago
what is x^2/3 64=0

This Question is Closed

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3\[\large\rm x^{2/3}64=0\]Add 64,\[\large\rm x^{2/3}=64\]Now to deal with the exponent...

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3If you were dealing with something like this: \(\large\rm \sqrt[3]{x}\) you could rewrite it like this: \(\large\rm x^{1/3}\) and to undo the root, you would raise it to the third power. \(\large\rm \left(x^{1/3}\right)^{3}=x\) If I was trying to undo an exponent from something like this: \(\large\rm x^{2}\) I would take the square root of it, which is the same as applying the 1/2 power. \(\large\rm (x^2)^{1/2}=x\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3In our problem here, we kinda want to do both of those things. We want to get rid of the 2 on the x, and the 1/3 on the x. So we'll apply a 3/2 power to each side,\[\large\rm \left(x^{2/3}\right)^{3/2}=64^{3/2}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3\[\large\rm x=64^{3/2}\]\[\large\rm x=\pm 64^{3/2}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3Hopefully I was reading your initial problem correctly D: It wasn't this, right? \(\large\rm \frac{x^2}{3}64=0\)
Ask your own question
Sign UpFind 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
 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.