Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

It is currently 26 May 2017, 23:25

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

(1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1)

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 6

Kudos [?]: 2699 [1] , given: 0

(1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 29 Dec 2012, 05:58
1
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:00) correct 18% (01:24) wrong based on 1052 sessions

HideShow timer Statistics

\((\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=\)

(A) (1/2)^(-48)
(B) (1/2)^(-11)
(C) (1/2)^(-6)
(D) (1/8)^(-11)
(E) (1/8)^(-6)
[Reveal] Spoiler: OA
Expert Post
3 KUDOS received
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38908
Followers: 7740

Kudos [?]: 106268 [3] , given: 11618

Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 29 Dec 2012, 06:01
3
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
Moderator
Moderator
User avatar
S
Joined: 01 Sep 2010
Posts: 3175
Followers: 857

Kudos [?]: 7316 [0], given: 1065

Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 29 Dec 2012, 06:14
1
This post was
BOOKMARKED
Walkabout wrote:
\((\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=\)

(A) (1/2)^(-48)
(B) (1/2)^(-11)
(C) (1/2)^(-6)
(D) (1/8)^(-11)
(E) (1/8)^(-6)


whenevr you see a fraction raised to a negative power think reciprocal

so we have : 2^3 * 4^2 * 16^1

Consolidate: 2^3 * 2^4 * 2^4

Clearly as you can see we have 2^11 only B fits

otherwise take the reciprocal of 2^11 ----> 1/2^-11

B is the best
_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15474
Followers: 649

Kudos [?]: 209 [0], given: 0

Premium Member
Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 10 Mar 2014, 03:47
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

1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 51

Kudos [?]: 2172 [1] , given: 193

Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 21 Mar 2014, 00:21
1
This post received
KUDOS
Answer = B


Keep the base as 2 & modify the powers accordingly

\((\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}\)

= \((\frac{1}{2})^{-3}(\frac{1}{2})^{-4}(\frac{1}{2})^{-4}\)

With the base the same, add the powers

-3-4-4 = -11

\((\frac{1}{2})^{-11}\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Senior Manager
Senior Manager
User avatar
S
Joined: 25 Mar 2013
Posts: 276
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Followers: 3

Kudos [?]: 29 [0], given: 101

GMAT ToolKit User Reviews Badge
Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 03 Dec 2014, 07:20
Resolved it as 16 x 2^3 x 4^2
After 2:20sec :(
Simplified it as 1/2
B
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15474
Followers: 649

Kudos [?]: 209 [0], given: 0

Premium Member
Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 01 Apr 2016, 21:28
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

Expert Post
Target Test Prep Representative
User avatar
B
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1027
Location: United States (CA)
Followers: 34

Kudos [?]: 540 [0], given: 2

Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 15 Jul 2016, 04:41
Walkabout wrote:
\((\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=\)

(A) (1/2)^(-48)
(B) (1/2)^(-11)
(C) (1/2)^(-6)
(D) (1/8)^(-11)
(E) (1/8)^(-6)


We start by using the negative exponent rule. When a fractional base is raised to a negative exponent, we can rewrite the expression (without the negative exponent) by flipping the fraction and making the exponent positive. For example, (1/2)^-3 = 2^3

We are using the negative exponent rule because it’s not only easier to deal with positive exponents, but also when we flip the fractional base, the fraction becomes an integer.

(1/2)^-3 = 2^3

(1/4)^-2 = 4^2 = (2 x 2)^2 = (2^2)^2 = 2^4

(1/16)^-1 = 16^1 = (2 x 2 x 2 x 2)^1 = (2^4)^1 = 2^4

We multiply each term in the expression, obtaining:

2^3 x 2^4 x 2^4

Remember, since the bases are the same, we keep the base and add the exponents. We are left with:

2^(3+4+4) = 2^11

Finally, since our answer choices are expressed in fractional form, we once again have to use the negative exponent rule. To convert a base with a positive exponent, take the reciprocal of the base and change the positive exponent to its negative counterpart. Using the rule we get:

2^11 = (1/2)^-11

The answer is B.
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Top Contributor
VP
VP
User avatar
G
Joined: 12 Sep 2015
Posts: 1437
Location: Canada
Followers: 138

Kudos [?]: 1627 [0], given: 329

(1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 30 Nov 2016, 17:48
Top Contributor
Walkabout wrote:
\((\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=\)

(A) (1/2)^(-48)
(B) (1/2)^(-11)
(C) (1/2)^(-6)
(D) (1/8)^(-11)
(E) (1/8)^(-6)


Nice rule: \((\frac{a}{b})^{-n} = (\frac{b}{a})^{n}\)

\((\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1} = (\frac{2}{1})^{3}(\frac{4}{1})^{2}(\frac{16}{1})^{1}\)

\(= (2^{3})(4^{2})(16^{1})\)

\(= (2^{3})(2^{4})(2^{4})\)

\(= 2^{11}\)

\(= (2/1)^{11}\)

\(= (1/2)^{-11}\)

Answer: B
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Senior Manager
Senior Manager
User avatar
S
Joined: 25 Mar 2013
Posts: 276
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Followers: 3

Kudos [?]: 29 [0], given: 101

GMAT ToolKit User Reviews Badge
Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) [#permalink]

Show Tags

New post 07 Dec 2016, 17:28
(2)^3 (4)^2 (16)^1
Simplify to base 2
(2)^3 (2)^4 (2)^4
2^11
(1/2)^-11
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

Re: (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1)   [#permalink] 07 Dec 2016, 17:28
Display posts from previous: Sort by

(1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1)

  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 and phpBB SEO

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®.