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

It is currently 14 Oct 2019, 09:30

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

If m^(-1) = -1/3 then m^(-2) is equal to

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

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 173
If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 20 Dec 2012, 07:23
3
1
18
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (00:38) correct 14% (00:50) wrong based on 1626 sessions

HideShow timer Statistics

If \(m^{(-1)} = -\frac{1}{3}\) then \(m^{(-2)}\) is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58320
If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 20 Dec 2012, 07:25
4
3
General Discussion
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1751
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 27 Feb 2014, 20:20
3
1
Walkabout wrote:
If m^(-1) = -1/3 then m^(-2) is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9



\(\frac{1}{m} = \frac{-1}{3}\)

Squaring both sides

\(\frac{1}{m^2} = \frac{1}{9} =\)Answer = D
_________________
Kindly press "+1 Kudos" to appreciate :)
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 28 Jun 2016, 05:48
Walkabout wrote:
If m^(-1) = -1/3 then m^(-2) is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9


Since we know that m^-1 = -1/3 and m^-2 = (m^-1)^2, then m^-2 = (-1/3)^2 = 1/9.

The answer is D.
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3995
Location: Canada
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 27 Jul 2016, 07:53
2
Top Contributor
Walkabout wrote:
If mˉ¹ = -1/3 then mˉ² is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9


Some good solutions here.
Here's one more approach:

CONCEPT: b^(-n) = 1/(b^n)

Given: mˉ¹ = -1/3
Rewrite as: 1/m = 1/(-3)
We can see that m = -3

So, mˉ² = 1/(m²) = 1/(-3)² = 1/9

Answer:

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Image
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2573
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 29 Jul 2016, 11:52
Intern
Intern
User avatar
B
Joined: 12 Jun 2016
Posts: 27
Location: India
Concentration: Entrepreneurship, Finance
GPA: 3.76
WE: Information Technology (Computer Software)
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 29 Jul 2016, 12:14
1
m^(-1) = -(1/3)
Squaring both sides
m^(-2) = 1/9

Ans. D
Intern
Intern
User avatar
Joined: 26 Sep 2016
Posts: 7
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 27 Sep 2016, 14:26
\(m^-1 = \frac{-1}{3}\)

\(\frac{1}{m} = \frac{-1}{3}\)

By cross multiplication

\(-m = 3\)

Squaring both sides

\(m^2 = 9\)

So \(m^-2 = \frac{1}{9}\)
Intern
Intern
avatar
B
Status: GMAT PREP
Joined: 22 Jul 2018
Posts: 3
Concentration: Technology, Entrepreneurship
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 06 Aug 2018, 15:56
why is this listed under the hard questions in OG 19?
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13142
Re: If m^(-1) = -1/3 then m^(-2) is equal to  [#permalink]

Show Tags

New post 11 Oct 2019, 03:14
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 Club Bot
Re: If m^(-1) = -1/3 then m^(-2) is equal to   [#permalink] 11 Oct 2019, 03:14
Display posts from previous: Sort by

If m^(-1) = -1/3 then m^(-2) is equal to

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





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