GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 24 Apr 2019, 11:36

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

Which of the following is equivalent to

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54496
Which of the following is equivalent to  [#permalink]

Show Tags

New post 23 Jun 2015, 23:35
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (01:01) correct 7% (01:20) wrong based on 116 sessions

HideShow timer Statistics

Which of the following is equivalent to \((\frac{1}{3})^{-4}*(\frac{1}{9})^{-3}*(\frac{1}{27})^{-2}\)?

A. \((\frac{1}{3})^{-8}\)

B. \((\frac{1}{3})^{-9}\)

C. \((\frac{1}{3})^{-16}\)

D. \((\frac{1}{3})^{-18}\)

E. \((\frac{1}{3})^{-144}\)


Kudos for a correct solution.

_________________
Intern
Intern
avatar
Joined: 28 Jan 2013
Posts: 31
Location: United States
Concentration: General Management, International Business
GPA: 3.1
WE: Information Technology (Consulting)
Which of the following is equivalent to  [#permalink]

Show Tags

New post 24 Jun 2015, 02:17
1
\((\frac{1}{3})^{-4}\)∗\((\frac{1}{9})^{-3}\)∗\((\frac{1}{27})^{-2}\)

\((\frac{1}{3})^{-4}\)∗\((\frac{1}{3})^{-6}\)∗\((\frac{1}{3})^{-6}\)
\((\frac{1}{3})^{-4-6-6}\)

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

Ans:C
Manager
Manager
avatar
B
Joined: 26 Dec 2012
Posts: 146
Location: United States
Concentration: Technology, Social Entrepreneurship
WE: Information Technology (Computer Software)
Re: Which of the following is equivalent to  [#permalink]

Show Tags

New post 24 Jun 2015, 10:15
Arranging equation we can write 1/9 = (1/3)^2; 1/27= (1/3)^3 hence we have
(1/3)^-4 *{(1/3) ^-3*2 } * { (1/3)^-2*3}=
(1/3)^-4 * (1/3)^-6 * (1/3)^-6=
(1/3)^-16
Hence answer is C
Thanks,
Manager
Manager
User avatar
B
Joined: 19 Jul 2017
Posts: 85
Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: Which of the following is equivalent to  [#permalink]

Show Tags

New post 02 Sep 2017, 08:45
Bunuel wrote:
Which of the following is equivalent to \((\frac{1}{3})^{-4}*(\frac{1}{9})^{-3}*(\frac{1}{27})^{-2}\)?

A. \((\frac{1}{3})^{-8}\)

B. \((\frac{1}{3})^{-9}\)

C. \((\frac{1}{3})^{-16}\)

D. \((\frac{1}{3})^{-18}\)

E. \((\frac{1}{3})^{-144}\)


Kudos for a correct solution.



1/a^-m = a^m.
So the equivalent form is 3^4 * 9^3 * 27^2= 3^4 * 3^6* 3^6= 3^16

The equivalent in answer form is D 1/3^-16
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 724
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Which of the following is equivalent to  [#permalink]

Show Tags

New post 02 Sep 2017, 10:11
Bunuel wrote:
Which of the following is equivalent to \((\frac{1}{3})^{-4}*(\frac{1}{9})^{-3}*(\frac{1}{27})^{-2}\)?

A. \((\frac{1}{3})^{-8}\)

B. \((\frac{1}{3})^{-9}\)

C. \((\frac{1}{3})^{-16}\)

D. \((\frac{1}{3})^{-18}\)

E. \((\frac{1}{3})^{-144}\)


Kudos for a correct solution.


\((\frac{1}{3})^{-4}*(\frac{1}{9})^{-3}*(\frac{1}{27})^{-2}\)
\((\frac{1}{3})^{-4}*(\frac{1}{3})^{-3*2}*(\frac{1}{3})^{-2*3}\)
\((\frac{1}{3})^{-4}*(\frac{1}{3})^{-6}*(\frac{1}{3})^{-6}\)
\((\frac{1}{3})^{-4-6-6}\)
\((\frac{1}{3})^{-16}\)

Answer C
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
GMAT Club Bot
Re: Which of the following is equivalent to   [#permalink] 02 Sep 2017, 10:11
Display posts from previous: Sort by

Which of the following is equivalent to

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.