It is currently 17 Dec 2017, 19:28

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
B
Status: love the club...
Joined: 24 Mar 2015
Posts: 213

Kudos [?]: 22 [0], given: 472

Re: The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is [#permalink]

Show Tags

New post 14 Aug 2017, 10:45
ccooley wrote:
Riffing on Scott's solution above. Instead of 'pulling out' a 2^-17, you can multiply both sides by 2^17 to simplify all of the exponents.



hi

thank you ...your solution to the problem is just awesome ....

:lol:

Kudos [?]: 22 [0], given: 472

Top Contributor
1 KUDOS received
Senior Manager
Senior Manager
User avatar
S
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 448

Kudos [?]: 527 [1], given: 59

Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: 337 Q168 V169
WE: Education (Education)
Re: The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is [#permalink]

Show Tags

New post 20 Sep 2017, 09:34
1
This post received
KUDOS
Top Contributor
1
This post was
BOOKMARKED
Attached is a visual that should help.
Attachments

Screen Shot 2017-09-20 at 10.31.39 AM.png
Screen Shot 2017-09-20 at 10.31.39 AM.png [ 98.14 KiB | Viewed 185 times ]


_________________

Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and online via Skype, since 2002.

GMAT Action Plan - McElroy Tutoring

Kudos [?]: 527 [1], given: 59

Intern
Intern
avatar
B
Joined: 06 Apr 2016
Posts: 20

Kudos [?]: 4 [0], given: 71

CAT Tests
Re: The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is [#permalink]

Show Tags

New post 08 Oct 2017, 05:43
carollu wrote:
The value of \(\frac{2^{(-14)} + 2^{(-15)} + 2^{(-16)} + 2^{(-17)}}{5}\) is how many times the value of \(2^{(-17)}\)?

A. 3/2
B. 5/2
C. 3
D. 4
E. 5


I found the following answer to be the most simplest,

\(\frac{2^{(-14)} + 2^{(-15)} + 2^{(-16)} + 2^{(-17)}}{5}\) = \(\frac{2^{(-14)} (1+2^{(-1)}+2^{(-2)}+2^{(-3)})}{5}\)

= {2^(-14) [(2^3)+(2^2)+2+1]/(2^3)} / 5

= {2^(-17) [8+4+2+1] / 5

= 2^(-17) * 3

Ans C

Kudos [?]: 4 [0], given: 71

Re: The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is   [#permalink] 08 Oct 2017, 05:43

Go to page   Previous    1   2   [ 23 posts ] 

Display posts from previous: Sort by

The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.