A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Just want to check to make sure answer is correct. Simplify the expression.
sqrt of x divided by cubed rt of (27x^6). The answer that I got was 1/3x. Please explain.
anonymous
 4 years ago
Just want to check to make sure answer is correct. Simplify the expression. sqrt of x divided by cubed rt of (27x^6). The answer that I got was 1/3x. Please explain.

This Question is Closed

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.1\[x^{1/2}/(27x^6)^{1/3} = x^{1/2}/3x^{2} = 1/3 x^{1/2  2} \] I got \[1/3x^{3/2} = 1/(3\sqrt{x^3})\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Im will draw the equation

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1333140979846:dw

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.1yep my answer still holds... in the denominator (27x^6)^1/3 = 3x^2 so x^(1/2)/3x^2 = 1/3 x(1/2  2) = 1/3 ( x(3/2))

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1333141131164:dw

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1No. Square root of x and then just x are not the same so they do not divide out. Think of square root of 4 and then just 4. They do not divide to 1.

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.1index rule for division... subtract the powers x^{1/2} / 3 x^2 = 1/3 x^1/2  2} = 1/3 x^(3/2)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what I think I was doing was taking the sqrt of x which I think = x and then canceling out one the x on the numerator and one x from denomenator

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1That is the error pattern I saw. I say "error pattern" because it is a common error in Algebra.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh so just leave it as the sqrt of x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1333141629395:dw as campbell stated

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1What are the instructions for the problem? If you were doing rational exponents, then I would not leave it as sqrt of x. By rational exponents, I mean something like x^(1/2).

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it says Use properties to simplify the expression. Answer should NOT include any negative exponents.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Oh I see your reasoning

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1@yrivers36 > The instructions "sound" as if you were to do rational exponents but I am guessing. Usually the instructions are more explicit.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thats all that is there

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1Picking up from the answer in radicals, .. dw:1333141957555:dw

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1What sort of properties are in the book to which the instructions "Use *properties* to simplify the expression." Were any of the properties for rational exponents. If so, you'll see a property such as the following: x^a / x^b = x^ (a  b).

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it says follow the quotient rule for radical expressions. I found this in the book but the problem is on the lab

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1I think I would leave the answer as sqrt of x over the quantity (3x^2) but consider showing on the side of the paper the continuation to rational exponents. Just a second, and I'll check the quotient rule for radical expressions. Also, I'll upload some properties of rational exponents for you to view.

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1I have decided that based on this, if I were doing the problem for class, I would leave the radical in the answer and stop there.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok i will do it that way

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.1Okay, and here's the link for the Quotient Rule. The section I uploaded was truncated. In case you want to practice on other problems, you can go to the source: http://www.mathportal.org/algebra/rootsandradicals/simplifyingradicalexpressions.php
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.