A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
square root problem
anonymous
 4 years ago
square root problem

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the expression \[\sqrt[4]{16x ^{2}y ^{7}?}\] is equivalent to which? 2x^(1/2)y^(7/4) , 4x^(1/2)y^(7/4), 2x^8y^28, or 4x^8y^28.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry it took me so long

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Use the the fundamental rule with radicals that (ab)^(1/2) = (a)^(1/2) * (b)^(1/2)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Do you understand radicals? They are simply used to determine what two (or 4 in this case) identical numbers multiply together to give what is under the radical for example 3^(2) = 9 3*3 = 9 (9)^(1/2) =3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know but how does that help me find what the equation is equivalent to?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so split up the terms of your problem into (16)^(1/4) * (x^(2))^(1/4) * (y^(7))^(1/4) I will solve the first term to show you how to solve this so we have (16)^(1/4) if you raise 2^(4) you realize you can get 16 so it simplifies to just 2 so now you are left with 2 * (x^(2))^(1/4) * (y^(7))^(1/4) Now to solve a variable what times what give y^(7) that will allow it to be simplified (when multiplying numbers with exponents we add the exponents). so we have 2 * (x^(2))^(1/4) * (y^(4))^(1/4) * (y^(3))^(1/4)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0do you know what the next step is?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0remember the rule that (x^(4))^(1/4) is the same as x^((x/1)(1/4)) = x^(1) = x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0um do i i change (x^2)^1/4 into x?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait apply the rule I just showed you so (x^(2))^(1/4) = x^((2/1)(1/4))

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you know how to multiply fractions right and that all numbers can be expressed with a 1 in the denominator

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and how to simplify fractions right? (2/4) = (1/2)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ya so um it turns out to be x^1/2?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what is (y^(3))^(1/4) simplified?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0y^(7/4) can be simplified more you would know that if you read what I posted

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you can split up numbers and variables to aid in simplification of them

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ya but that is what it looks like as one of the answer choices

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh ok weird sorry for the accusation hope I was helpful
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.