A community for students.
Here's the question you clicked on:
 0 viewing
kandsbbf
 2 years ago
What is a simpler form of the radical expression?
kandsbbf
 2 years ago
What is a simpler form of the radical expression?

This Question is Closed

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1Simplify the x^12 and y^16 first

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1Remember:\[(x^a)^b x^{a• b}\]

kandsbbf
 2 years ago
Best ResponseYou've already chosen the best response.0do i just simplify the exponents?

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1We're simplifying them first, cause it's easier haha, we'll move on to the 240 after you simplify the exponents

kandsbbf
 2 years ago
Best ResponseYou've already chosen the best response.0so how do i simplify them?

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1Well since, \[(x^a)^b = x^{a•b}\] divide x^12 and y^16 by 4. What do you get?

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1(I mean the powers of x and y)

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1Wait, but 12/4 = 3, not 2. Also, it would be y^4

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1But moving on, now we simplify \[\sqrt[4]{2901}\] Do you have any idea on how to do this? (just asking)

kandsbbf
 2 years ago
Best ResponseYou've already chosen the best response.0no lol, but i really appreciate u teaching me

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1No problem, I'm glad to help :) Well, first, we need to find a factor of 2901 that is a power of 4. (ex. 16, because 2^4 = 16)

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1Here's a list of em: \[2^4 = 16\] \[3^4 = 81\] \[4^4 = 256\] \[5^4 = 625\] \[6^4 = 1296\] Are any of these numbers factors of 2901?

kandsbbf
 2 years ago
Best ResponseYou've already chosen the best response.0no i get dec. for all of them

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1The number in the problem is 2901, right?

nooce
 2 years ago
Best ResponseYou've already chosen the best response.1Alright, since we know 2401 = 7^4, we can take that out of the radical :) So we get, \[\sqrt[4]{2401x^{12}y^{16}} = 7x^3y^4\] Do you get it? :D
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.