Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 24 May 2014
Posts: 13
Location: Brazil

If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
25 Jun 2014, 18:24
45
This post was BOOKMARKED
Question Stats:
69% (01:59) correct 31% (02:31) wrong based on 458 sessions
HideShow timer Statistics
If \(2^{4x} = 3,600\), what is the value of \((2^{(1x)})^2\) ? (A) 1/15 (B) 1/15 (C) 3/10 (D) 3/10 (E) 1
Official Answer and Stats are available only to registered users. Register/ Login.



Director
Joined: 25 Apr 2012
Posts: 721
Location: India
GPA: 3.21
WE: Business Development (Other)

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
25 Jun 2014, 20:00
2
This post received KUDOS
2
This post was BOOKMARKED
Reni wrote: If 2^4x = 3,600, what is the value of (2^1x)^2 ? (A)1/15 (B) 1/15 (C)3/10 (D)3/10 (E)1 Given 2^4x=1600 We need to find value of 2 ^(1x)^2> Simplify this term \((\frac{2}{2^x})^2\) So we need to find value of \(\frac{4}{2^{2x}}\) 2^4x=3600. Taking a square root we get 2^2x=60 So we get 4/60 or 1/15 Ans is B Similar question or practice: given24x1600whatisthevalueof154486.html#p1236720if44x1600whatisthevalueof4x161823.html
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1842
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
10 Jul 2014, 02:35
21
This post received KUDOS
8
This post was BOOKMARKED
\(2^{4x} = 3600\) \((2^{2x})^2 = 60^2\) \(2^{2x} = 60\) .............. (1) \((2^{1x})^2 = \frac{2^2}{2^{2x}}\) \(= \frac{4}{60}\).............. (From 1) \(= \frac{1}{15}\) Answer = B
_________________
Kindly press "+1 Kudos" to appreciate



Manager
Joined: 07 Apr 2015
Posts: 180

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
05 Sep 2015, 04:00
1
This post received KUDOS
can somebody pls format the question properly? Question stem let me think that it was \((2^1x)^2\) and not \((2^{1x})^2\)



Math Expert
Joined: 02 Sep 2009
Posts: 43363

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
06 Sep 2015, 03:42



Current Student
Joined: 21 May 2015
Posts: 12
Concentration: Marketing, Nonprofit
WE: Analyst (NonProfit and Government)

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
20 Nov 2015, 01:38
Bunuel wrote: noTh1ng wrote: can somebody pls format the question properly? Question stem let me think that it was \((2^1x)^2\) and not \((2^{1x})^2\) _______________ Edited. Thank you. Wait, \((2^{1x})^{2}\) is the same with \(2^{(1x)^{2}}\) ? I thought the first were equal to \(\left(\frac{2}{2^x}\right)^{2}\), and the second equal to \(\left(\frac{2}{2^x}\right) * 2^{(x^{2})}\)? And could you pls tell me how to calculate \(2^{(x^{2})}\) if I (unfortunately) encounter it in the test? Thanks Bunuel.



Intern
Joined: 26 Apr 2016
Posts: 8

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
08 Jul 2016, 10:57
Reni wrote: If \(2^{4x} = 3,600\), what is the value of \(2^{(1x)^2}\) ?
(A) 1/15 (B) 1/15 (C) 3/10 (D) 3/10 (E) 1 Is it \(2^{(1x)^2}\) as written in the original post? Or (2^(1x))^2 as in the answer solutions? The question stem multiplies to be 2^(x^2  2x + 1).



Math Expert
Joined: 02 Sep 2009
Posts: 43363

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
08 Jul 2016, 11:43



Senior Manager
Status: DONE!
Joined: 05 Sep 2016
Posts: 407

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
04 Nov 2016, 19:46
Can someone please explain why we can't do the following: Break 3600 to 2^4 x (3^2) x (5^2) > so x=1 making the answer 1. Why is this not the correct way to approach? Thanks in advance



Math Expert
Joined: 02 Sep 2009
Posts: 43363

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
05 Nov 2016, 01:08



NonHuman User
Joined: 09 Sep 2013
Posts: 14157

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
19 Nov 2017, 10:21
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1821

Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ? [#permalink]
Show Tags
22 Nov 2017, 11:27
Reni wrote: If \(2^{4x} = 3,600\), what is the value of \((2^{(1x)})^2\) ?
(A) 1/15 (B) 1/15 (C) 3/10 (D) 3/10 (E) 1 Let’s first simplify the expression we want to evaluate. We see that [2^(1x)]^2 can be simplified as (2 * 2^x)^2 = 2^2 * 2^2x = (2^2)/(2^2x) Thus, if we can determine 2^2x, then we have an answer. Taking the square root of both sides of the given equation, which is 2^4x = 3600 we have 2^2x = 60; thus: (2^2)/(2^2x) = 4/60 = 1/15 Answer: B
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: If 2^4x = 3,600, what is the value of (2^1x)^2 ?
[#permalink]
22 Nov 2017, 11:27






