Author
Message
Founder

Affiliations: AS - Gold, HH-Diamond

Joined: 04 Dec 2002

Posts: 12857

Location: United States (WA)

GMAT 1 : 750 Q49 V42

GPA: 3.5

Followers: 2798

Kudos [? ]:
14098
[2 ]
, given: 3876

GMAT Diagnostic Test Question 6 [#permalink ]
06 Jun 2009, 20:39
2

This post received KUDOS

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 Just starting out with GMAT? Start here... | Want to know your GMAT Score? Try GMAT Score Estimator Need GMAT Book Recommendations? Best GMAT Books Co-author of the GMAT Club tests Have a blog? Feature it on GMAT Club !GMAT Club Premium Membership - big benefits and savings

Last edited by

Bunuel on 06 Oct 2013, 23:06, edited 3 times in total.

Updated

CIO

Joined: 02 Oct 2007

Posts: 1217

Followers: 93

Kudos [? ]:
781
[4 ]
, given: 334

Re: GMAT Diagnostic Test Question 6 [#permalink ]
15 Jun 2009, 07:12
4

This post received KUDOS

2

This post was BOOKMARKED

Explanation: Official Answer: A 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, 10:45, edited 1 time in total.

Updated

CIO

Joined: 02 Oct 2007

Posts: 1217

Followers: 93

Kudos [? ]:
781
[1 ]
, given: 334

Re: GMAT Diagnostic Test Question 6 [#permalink ]
21 Dec 2009, 07:32
1

This post received KUDOS

1

This post was BOOKMARKED

\(a^{-b} = \frac{1}{a^b}\)

It's just an exponent property.

sunnyvee wrote:

dzyubam wrote:

Explanation:

Official Answer: A 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

Math Expert

Joined: 02 Sep 2009

Posts: 28784

Followers: 4600

Kudos [? ]:
47624
[1 ]
, given: 7130

Re: GMAT Diagnostic Test Question 6 [#permalink ]
08 Jan 2013, 03:10
1

This post received KUDOS

Manager

Affiliations: CFA L3 Candidate, Grad w/ Highest Honors

Joined: 03 Nov 2007

Posts: 130

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)

Followers: 1

Kudos [? ]:
43
[0 ] , given: 9

Re: GMAT Diagnostic Test Question 6 [#permalink ]
16 Sep 2009, 21:50

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: 222

Location: Tokyo, Japan

Followers: 2

Kudos [? ]:
20
[0 ] , given: 8

Re: GMAT Diagnostic Test Question 6 [#permalink ]
21 Nov 2009, 01:22

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: 13 Dec 2009

Posts: 79

Followers: 1

Kudos [? ]:
33
[0 ] , given: 20

Re: GMAT Diagnostic Test Question 6 [#permalink ]
16 Dec 2009, 08:40

Agree that the question is pretty easy:)

Senior Manager

Affiliations: PMP

Joined: 13 Oct 2009

Posts: 312

Followers: 4

Kudos [? ]:
117
[0 ] , given: 37

Re: GMAT Diagnostic Test Question 6 [#permalink ]
16 Dec 2009, 08:51

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

Followers: 0

Kudos [? ]:
0
[0 ] , given: 4

Re: GMAT Diagnostic Test Question 6 [#permalink ]
21 Dec 2009, 07:15

dzyubam wrote:

Explanation:

Official Answer: A 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

Intern

Joined: 17 Nov 2009

Posts: 10

Followers: 0

Kudos [? ]:
0
[0 ] , given: 4

Re: GMAT Diagnostic Test Question 6 [#permalink ]
21 Dec 2009, 07:51

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: 193

Location: Anchorage, AK

Schools: Mellon, USC, MIT, UCLA, NSCU

Followers: 4

Kudos [? ]:
25
[0 ] , given: 10

Re: GMAT Diagnostic Test Question 6 [#permalink ]
11 Jan 2010, 21:48

dzyubam wrote:

Explanation:

Official Answer: A 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: 1217

Followers: 93

Kudos [? ]:
781
[0 ] , given: 334

Re: GMAT Diagnostic Test Question 6 [#permalink ]
12 Jan 2010, 06:43

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: 193

Location: Anchorage, AK

Schools: Mellon, USC, MIT, UCLA, NSCU

Followers: 4

Kudos [? ]:
25
[0 ] , given: 10

Re: GMAT Diagnostic Test Question 6 [#permalink ]
12 Jan 2010, 10:35

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

Followers: 0

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

Re: GMAT Diagnostic Test Question 6 [#permalink ]
24 Jan 2010, 09:34

Thanks for the question and answer. Got it wrong for the first try.

Director

Joined: 21 Dec 2009

Posts: 592

Concentration: Entrepreneurship, Finance

Followers: 16

Kudos [? ]:
375
[0 ] , given: 20

Re: GMAT Diagnostic Test Question 6 [#permalink ]
02 Apr 2010, 05:11

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

Followers: 0

Kudos [? ]:
0
[0 ] , given: 18

Re: GMAT Diagnostic Test Question 6 [#permalink ]
08 Apr 2010, 15:29

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: 1420

GPA: 3.77

Followers: 173

Kudos [? ]:
661
[0 ] , given: 618

Re: GMAT Diagnostic Test Question 6 [#permalink ]
23 Apr 2010, 09:21

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: 84

Followers: 2

Kudos [? ]:
15
[0 ] , given: 2

Re: GMAT Diagnostic Test Question 6 [#permalink ]
20 May 2010, 10:21

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: India

Concentration: General Management, Entrepreneurship

GMAT 1 : 710 Q49 V0GMAT 2 : 740 Q40 V50GMAT 3 : 700 Q48 V38GMAT 4 : 710 Q45 V41

GPA: 4

Followers: 0

Kudos [? ]:
102
[0 ] , given: 88988

Re: GMAT Diagnostic Test Question 6 [#permalink ]
04 Oct 2010, 02:26

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: 1217

Followers: 93

Kudos [? ]:
781
[0 ] , given: 334

Re: GMAT Diagnostic Test Question 6 [#permalink ]
04 Oct 2010, 02:31

\(\frac{1}{2^8}\) 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

Re: GMAT Diagnostic Test Question 6
[#permalink ]
04 Oct 2010, 02:31

Go to page
1 2
Next
[ 31 posts ]