Last visit was: 23 Jul 2024, 04:40 It is currently 23 Jul 2024, 04:40
Toolkit
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

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.

# What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94580
Own Kudos [?]: 643201 [26]
Given Kudos: 86728
Retired Moderator
Joined: 08 Dec 2013
Status:Greatness begins beyond your comfort zone
Posts: 2091
Own Kudos [?]: 8992 [4]
Given Kudos: 171
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Retired Moderator
Joined: 29 Apr 2015
Posts: 717
Own Kudos [?]: 4235 [4]
Given Kudos: 302
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE:Asset Management (Investment Banking)
Manager
Joined: 13 Mar 2013
Posts: 135
Own Kudos [?]: 295 [2]
Given Kudos: 25
Location: United States
GPA: 3.5
WE:Engineering (Telecommunications)
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
1
Kudos
1
Bookmarks
What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8

effectively we need to calculate 1/(w)^2
there fore we need to know w ?

1. w^(−1) = 1/2
1/w= 1/2
hence w =2
Since we got unique value .we can calculate 1/(w)^2

2.w^3 = 8
hence w =2
Again we got unique value .we can calculate 1/(w)^2

Hence D ans
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 6027
Own Kudos [?]: 13819 [0]
Given Kudos: 125
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Bunuel wrote:
What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8

Kudos for a correct solution.

Question: What is the value of w^(−2) ot 1/w^2?

Statement 1: w^(−1) = 1/2
i.e. 1/w = 1/2
i.e. 1/w^2 = 1/4
SUFFICIENT

Statement 2: w^3 = 8
i.e. w = 2
i.e. 1/w^2 = 1/4
SUFFICIENT

Intern
Joined: 27 Apr 2015
Posts: 6
Own Kudos [?]: 6 [1]
Given Kudos: 2
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
1
Kudos
If either statement 1 or 2 gave us an even power, would it still be sufficient?

i.e. if statement 1 was: W^-2 = number or W^2 = number
would that still be sufficient?
Math Expert
Joined: 02 Sep 2009
Posts: 94580
Own Kudos [?]: 643201 [0]
Given Kudos: 86728
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
ThisandThat wrote:
If either statement 1 or 2 gave us an even power, would it still be sufficient?

i.e. if statement 1 was: W^-2 = number or W^2 = number
would that still be sufficient?

Yes, because we want to find 1/w^2 and we could simply substitute the value of w^2 there without solving for w.
Manager
Joined: 05 Jan 2020
Posts: 108
Own Kudos [?]: 51 [0]
Given Kudos: 353
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Bunuel wrote:
ThisandThat wrote:
If either statement 1 or 2 gave us an even power, would it still be sufficient?

i.e. if statement 1 was: W^-2 = number or W^2 = number
would that still be sufficient?

Yes, because we want to find 1/w^2 and we could simply substitute the value of w^2 there without solving for w.

Hi Bunuel,

Just a small doubt regarding negative power.

To change the negative power of w^(-1) we simply take the reciprocal and the power becomes positive.

But we don't take the reciprocal of the RHS (in this case)

w^(-1)=1/2 doesn't become 1/w^1=2..right..?

Tagging others just in case Bunuel is busy or goes offline.
yashikaaggarwal chetan2u GMATinsight IanStewart

Thank you.

Posted from my mobile device
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 6027
Own Kudos [?]: 13819 [0]
Given Kudos: 125
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Nups1324 wrote:
Bunuel wrote:
ThisandThat wrote:
If either statement 1 or 2 gave us an even power, would it still be sufficient?

i.e. if statement 1 was: W^-2 = number or W^2 = number
would that still be sufficient?

Yes, because we want to find 1/w^2 and we could simply substitute the value of w^2 there without solving for w.

Hi Bunuel,

Just a small doubt regarding negative power.

To change the negative power of w^(-1) we simply take the reciprocal and the power becomes positive.

But we don't take the reciprocal of the RHS (in this case)

w^(-1)=1/2 doesn't become 1/w^1=2..right..?

Tagging others just in case Bunuel is busy or goes offline.
yashikaaggarwal chetan2u GMATinsight IanStewart

Thank you.

Posted from my mobile device

Nups1324

The rule of exponents is

$$a^{-x} = \frac{1}{a^x}$$

i.e. $$w^{-1} = \frac{1}{w^2} = 1/2$$

ie..$$w = 2$$

I hope this help!

Subscribe Topic-wise UN-bundled Video course. CHECK FREE Sample Videos
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11478
Own Kudos [?]: 34543 [0]
Given Kudos: 323
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Nups1324 wrote:
Bunuel wrote:
ThisandThat wrote:
If either statement 1 or 2 gave us an even power, would it still be sufficient?

i.e. if statement 1 was: W^-2 = number or W^2 = number
would that still be sufficient?

Yes, because we want to find 1/w^2 and we could simply substitute the value of w^2 there without solving for w.

Hi Bunuel,

Just a small doubt regarding negative power.

To change the negative power of w^(-1) we simply take the reciprocal and the power becomes positive.

But we don't take the reciprocal of the RHS (in this case)

w^(-1)=1/2 doesn't become 1/w^1=2..right..?

Tagging others just in case Bunuel is busy or goes offline.
yashikaaggarwal chetan2u GMATinsight IanStewart

Thank you.

Posted from my mobile device

Yes, you will take the reciprocal of whatever you want to change the sign of power of.
1/2=2^(-1)
And w^(-1)=1/w
Tutor
Joined: 17 Jul 2019
Posts: 1304
Own Kudos [?]: 1748 [0]
Given Kudos: 66
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 6027
Own Kudos [?]: 13819 [0]
Given Kudos: 125
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Bunuel wrote:
What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8

Kudos for a correct solution.

Wanna make solving the Official Questions interesting???

Click here and solve 1000+ Official Questions with Video solutions as Timed Sectional Tests
and Dedicated Data Sufficiency (DS) Course

Video solution by GMATinsight

Get TOPICWISE: Concept Videos | Practice Qns 100+ | Official Qns 50+ | 100% Video solution CLICK HERE.
Two MUST join YouTube channels : GMATinsight (1000+ FREE Videos) and GMATclub
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19175
Own Kudos [?]: 22696 [0]
Given Kudos: 286
Location: United States (CA)
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Bunuel wrote:
What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8

Kudos for a correct solution.

Solution:

Question Stem Analysis:

We need to determine the value of w^(-2).

Statement One Alone:

Since w^(-2) = [w^(-1)]^2 and w^(-1) = 1/2, w^(-2) = [1/2]^2 = 1/4. Statement one alone is sufficient.

Statement Two Alone:

Since w^3 = 8, w = ∛8 = 2. So w^(-2) = 2^(-2) = 1/4. Statement two alone is sufficient.

Non-Human User
Joined: 09 Sep 2013
Posts: 34046
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
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.
Re: What is the value of w^(2)? (1) w^(1) = 1/2 (2) w^3 = 8 [#permalink]
Moderator:
Math Expert
94578 posts