It is currently 23 Jun 2017, 05:21

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# GMAT Diagnostic Test Question 6

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Founder
Joined: 04 Dec 2002
Posts: 15136
Location: United States (WA)
GMAT 1: 750 Q49 V42
GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

06 Jun 2009, 21:39
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
GMAT Diagnostic Test Question 6
Field: fractions, powers
Difficulty: 700

What is the value of $$\frac{\frac{1}{8} * (\frac{1}{16})^2* 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}$$?

A. 16
B. 4
C. 2
D. $$\frac{1}{2}$$
E. $$\frac{1}{16}$$
_________________

Founder of GMAT Club

US News Rankings progression - last 10 years in a snapshot - New!
Just starting out with GMAT? Start here...
Need GMAT Book Recommendations? Best GMAT Books

Co-author of the GMAT Club tests

Last edited by Bunuel on 07 Oct 2013, 00:06, edited 3 times in total.
Updated
CIO
Joined: 02 Oct 2007
Posts: 1218
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

15 Jun 2009, 08:12
4
KUDOS
2
This post was
BOOKMARKED
Explanation:

We just have to simplify the expression:

$$\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{-4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16$$
_________________

Welcome to GMAT Club!

Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

GMAT Club Premium Membership - big benefits and savings

Last edited by bb on 28 Sep 2013, 11:45, edited 1 time in total.
Updated
Manager
Affiliations: CFA L3 Candidate, Grad w/ Highest Honors
Joined: 03 Nov 2007
Posts: 131
Location: USA
Schools: Chicago Booth R2 (WL), Wharton R2 w/ int, Kellogg R2 w/ int
WE 1: Global Operations (Futures & Portfolio Financing) - Hedge Fund ($10bn+ Multi-Strat) WE 2: Investment Analyst (Credit strategies) - Fund of Hedge Fund ($10bn+ Multi-Strat)
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

16 Sep 2009, 22:50
Do you really think this is a 750 question? It seemed easier than some of the other 700-650 questions. Just my 2 cents.
Manager
Joined: 22 Sep 2009
Posts: 215
Location: Tokyo, Japan
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

21 Nov 2009, 02:22
robertrdzak wrote:
Do you really think this is a 750 question? It seemed easier than some of the other 700-650 questions. Just my 2 cents.

I agree. A bit surprised by the level
Manager
Joined: 14 Dec 2009
Posts: 76
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

16 Dec 2009, 09:40
Agree that the question is pretty easy:)
Senior Manager
Affiliations: PMP
Joined: 13 Oct 2009
Posts: 300
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

16 Dec 2009, 09:51
yep , I got it in 20 secs, is it 750 level ?
_________________

Thanks, Sri
-------------------------------
keep uppp...ing the tempo...

Press +1 Kudos, if you think my post gave u a tiny tip

Intern
Joined: 17 Nov 2009
Posts: 10
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

21 Dec 2009, 08:15
dzyubam wrote:
Explanation:
 Rating:

We just have to simplify the expression:

$$\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{-4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16$$

can someone pls xplain how 2^{-4}= 1/2^ 4?
_________________

if someone was able to do it, this proves it can be done, and so is within reach = I CAN TOO

CIO
Joined: 02 Oct 2007
Posts: 1218
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

21 Dec 2009, 08:32
1
KUDOS
1
This post was
BOOKMARKED
$$a^{-b} = \frac{1}{a^b}$$

It's just an exponent property.
sunnyvee wrote:
dzyubam wrote:
Explanation:
 Rating:

We just have to simplify the expression:

$$\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{-4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16$$

can someone pls xplain how 2^{-4}= 1/2^ 4?

_________________

Welcome to GMAT Club!

Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

GMAT Club Premium Membership - big benefits and savings

Intern
Joined: 17 Nov 2009
Posts: 10
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

21 Dec 2009, 08:51
thanx dzyubam, heres a kudo to make it worth ur while
_________________

if someone was able to do it, this proves it can be done, and so is within reach = I CAN TOO

Manager
Joined: 24 Jul 2009
Posts: 192
Location: Anchorage, AK
Schools: Mellon, USC, MIT, UCLA, NSCU
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

11 Jan 2010, 22:48
dzyubam wrote:
Explanation:
 Rating:

We just have to simplify the expression:

$$\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{-4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16$$

Please confirm. Correct answer is 2^4 because the two 1/2^3 cancel out and leave 1/1/2^4?
_________________

Reward wisdom with kudos.

CIO
Joined: 02 Oct 2007
Posts: 1218
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

12 Jan 2010, 07:43
You're absolutely right .
gottabwise wrote:
Please confirm. Correct answer is 2^4 because the two 1/2^3 cancel out and leave 1/1/2^4?

_________________

Welcome to GMAT Club!

Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 24 Jul 2009
Posts: 192
Location: Anchorage, AK
Schools: Mellon, USC, MIT, UCLA, NSCU
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

12 Jan 2010, 11:35
dzyubam wrote:
You're absolutely right .
gottabwise wrote:
Please confirm. Correct answer is 2^4 because the two 1/2^3 cancel out and leave 1/1/2^4?

dzyubam: Thanks for confirming.
_________________

Reward wisdom with kudos.

Intern
Joined: 24 Jan 2010
Posts: 5
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

24 Jan 2010, 10:34
Thanks for the question and answer.

Got it wrong for the first try.
Director
Joined: 21 Dec 2009
Posts: 583
Concentration: Entrepreneurship, Finance
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

02 Apr 2010, 06:11
I agree, this question shouldn't be of 750 difficulty level.
_________________

KUDOS me if you feel my contribution has helped you.

Intern
Joined: 11 Mar 2010
Posts: 2
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

08 Apr 2010, 16:29
650-700 level i must say
_________________

______________________________________________________________________________________

“Errors, like straws, upon the surface flow; He who would search for pearls must dive below....”
- John Dryden

------------->>>>>>SUCCESS IS MY DESTINATION<<<<<<<<<<---------

Forum Moderator
Status: mission completed!
Joined: 02 Jul 2009
Posts: 1400
GPA: 3.77
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

23 Apr 2010, 10:21
gmatbull wrote:
I agree, this question shouldn't be of 750 difficulty level.

Well for someone, it is difficult to solve it in once.
I agree that it is of 650-700 level.
_________________

Audaces fortuna juvat!

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 06 Apr 2010
Posts: 82
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

20 May 2010, 11:21
600-650 level! the question is straight forward and test basic knowledge. Just be careful when changing the fraction into negative exponent.
Joined: 31 Dec 1969
Location: Russian Federation
Concentration: Entrepreneurship, International Business
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

04 Oct 2010, 03:26
This may seem like a stupid question but could someone please explain what happend to 1/2^8 * 2^8 in the nominator from the second to third step?

I tried to figure it out myself and looked up the math basics topic but haven't been successful.

Thanks!
CIO
Joined: 02 Oct 2007
Posts: 1218
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

04 Oct 2010, 03:31
$$\frac{1}{2^8}$$ and $$2^8$$ just canceled out, just as $$\frac{1}{7}$$ and $$7$$ would.

$$\frac{1}{2^8} * 2^8 = 1$$

HanibalSmith wrote:
This may seem like a stupid question but could someone please explain what happend to 1/2^8 * 2^8 in the nominator from the second to third step?

I tried to figure it out myself and looked up the math basics topic but haven't been successful.

Thanks!

_________________

Welcome to GMAT Club!

Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

GMAT Club Premium Membership - big benefits and savings

Joined: 31 Dec 1969
Location: Russian Federation
Concentration: Entrepreneurship, International Business
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)
Re: GMAT Diagnostic Test Question 6 [#permalink]

### Show Tags

04 Oct 2010, 05:25
Ahh... Of course.... Thanks!
Re: GMAT Diagnostic Test Question 6   [#permalink] 04 Oct 2010, 05:25

Go to page    1   2    Next  [ 31 posts ]

Similar topics Replies Last post
Similar
Topics:
42 GMAT Diagnostic Test Question 5 26 20 Jun 2014, 03:49
16 GMAT Diagnostic Test Question 4 37 09 Apr 2014, 06:43
25 GMAT Diagnostic Test Question 3 33 22 Oct 2013, 23:26
9 GMAT Diagnostic Test Question 2 26 04 Oct 2013, 03:27
36 GMAT Diagnostic Test Question 1 30 14 Apr 2014, 02:53
Display posts from previous: Sort by

# GMAT Diagnostic Test Question 6

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

Moderator: Bunuel

 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®.