It is currently 19 Oct 2017, 13:25

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

(6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7

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

Hide Tags

1 KUDOS received
Manager
Manager
User avatar
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 128

Kudos [?]: 474 [1], given: 210

Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
(6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7 [#permalink]

Show Tags

New post 06 Oct 2010, 11:05
1
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:36) correct 39% (01:46) wrong based on 306 sessions

HideShow timer Statistics

\(\frac{6.804^6*1.701^{-13}}{2^{19}*3.402^{-7}}\).

A. .8502
B. 1.000
C. 1.7010
D 3.402
E. 6.804
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Oct 2013, 02:08, edited 1 time in total.
Edited the question.

Kudos [?]: 474 [1], given: 210

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128900 [3], given: 12183

Re: MGMAT CAT exponents problem [#permalink]

Show Tags

New post 06 Oct 2010, 11:18
3
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
tonebeeze wrote:
Can you please walk me through simplifying this exponents problem. Thanks

(6.804)^6 (1.701)^-13
_________________________ =

(2)^19 (3.402)^-7


a. .8502
b. 1.000
b. 1.7010
c. 3.402
d. 6.804


\(\frac{6.804^6*1.701^{-13}}{2^{19}*3.402^{-7}}=\frac{(2^2*1.701)^6}{2^{19}*(2*1.701)^{-7}*1.701^{13}}=\frac{2^{12}*1.701^6*(2*1.701)^{7}}{2^{19}*1.701^{13}}=\frac{2^{12}*1.701^6*2^7*1.701^{7}}{2^{19}*1.701^{13}}=\frac{2^{19}*1.701^{13}}{2^{19}*1.701^{13}}=1\).

Answer: B.

Please do check the questions when posting and use formating for such formulas (writing-mathematical-symbols-in-posts-72468.html).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128900 [3], given: 12183

Expert Post
1 KUDOS received
GMAT Tutor
avatar
B
Joined: 24 Jun 2008
Posts: 1339

Kudos [?]: 1953 [1], given: 6

Re: MGMAT CAT exponents problem [#permalink]

Show Tags

New post 06 Oct 2010, 11:21
1
This post received
KUDOS
Expert's post
tonebeeze wrote:
Can you please walk me through simplifying this exponents problem. Thanks

(6.806)^6 (1.701)^-13
_________________________ =

(2)^9 (3.402)^-7


a. .8502
b. 1.000
b. 1.7010
c. 3.402
d. 6.804


I'm sure the question must have \((6.804)^6\) in the numerator; otherwise you won't have much simplification. I also suspect that the denominator should have a 2^19 in it, instead of 2^9; otherwise you won't get one of the five answer choices. With those changes, then if you notice that 3.402 = 2(1.701), and that 6.804 = (2^2)(1.701), we can factor out 2's in order to cancel:

\(\frac{(6.804)^6 (1.701)^{-13}}{(2^{19})(3.402)^{-7}} = \frac{(2^2)^6(1.701)^6 (1.701)^{-13}}{(2^{19})(2^{-7})(1.701)^{-7}} = \frac{(2^{12})(1.701)^{-7}}{(2^{12})(1.701)^{-7}} = 1\)
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Kudos [?]: 1953 [1], given: 6

5 KUDOS received
Intern
Intern
avatar
Joined: 30 Aug 2010
Posts: 11

Kudos [?]: 6 [5], given: 6

Re: MGMAT CAT exponents problem [#permalink]

Show Tags

New post 11 Mar 2012, 02:45
5
This post received
KUDOS
the hardest thing here is to discern that:

2*1.701=3.402
4*1.701=6.804

In order to save time and avoid making mistakes by re-writing decimals, 3.402 can be substituted with '2x' and 6.804 with 4x. Therefore, the initial formula is quite simplified:

\(\frac{(4x)^6*x^-13}{2^19*(2x)^-7}\)

Afterwards, it takes 20 seconds to arrive to the final result

Kudos [?]: 6 [5], given: 6

1 KUDOS received
Current Student
User avatar
Joined: 06 Sep 2013
Posts: 1978

Kudos [?]: 719 [1], given: 355

Concentration: Finance
GMAT ToolKit User
Re: (6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7 [#permalink]

Show Tags

New post 08 Oct 2013, 12:39
1
This post received
KUDOS
tonebeeze wrote:
Can you please walk me through simplifying this exponents problem. Thanks

(6.806)^6 (1.701)^-13
_________________________ =

(2)^9 (3.402)^-7


a. .8502
b. 1.000
b. 1.7010
c. 3.402
d. 6.804


Question is wrong. Please correct. Thanks

Kudos [?]: 719 [1], given: 355

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128900 [0], given: 12183

Re: (6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7 [#permalink]

Show Tags

New post 09 Oct 2013, 02:08
jlgdr wrote:
tonebeeze wrote:
Can you please walk me through simplifying this exponents problem. Thanks

(6.806)^6 (1.701)^-13
_________________________ =

(2)^9 (3.402)^-7


a. .8502
b. 1.000
b. 1.7010
c. 3.402
d. 6.804


Question is wrong. Please correct. Thanks


Edited the original post. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128900 [0], given: 12183

1 KUDOS received
Manager
Manager
avatar
Joined: 26 Sep 2013
Posts: 218

Kudos [?]: 179 [1], given: 40

Concentration: Finance, Economics
GMAT 1: 670 Q39 V41
GMAT 2: 730 Q49 V41
Re: (6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7 [#permalink]

Show Tags

New post 26 Oct 2013, 13:03
1
This post received
KUDOS
I realized something when looking at this one: they would never have you doing the kind of calculations that would lead to those long decimals. I figured it had to be B based simply on the fact that they rarely if ever have you calculating out that far past the decimal point.

Kudos [?]: 179 [1], given: 40

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

Kudos [?]: 2620 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: (6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7 [#permalink]

Show Tags

New post 26 Feb 2014, 02:37
Re-writing the equation in the powers of 1.701 & 2 :

2^12 . 1.701^6 . 1.701^ -13

Divide by

2^19 . 2^ -7 . 1.701^-7

Answer = 1 = B
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2620 [0], given: 193

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16651

Kudos [?]: 273 [0], given: 0

Premium Member
Re: (6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7 [#permalink]

Show Tags

New post 30 Jul 2015, 15:09
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Manager
Manager
avatar
Joined: 07 Feb 2015
Posts: 78

Kudos [?]: 20 [0], given: 28

Re: (6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7 [#permalink]

Show Tags

New post 30 Aug 2015, 08:00
igormkd wrote:
the hardest thing here is to discern that:

2*1.701=3.402
4*1.701=6.804

In order to save time and avoid making mistakes by re-writing decimals, 3.402 can be substituted with '2x' and 6.804 with 4x. Therefore, the initial formula is quite simplified:

\(\frac{(4x)^6*x^-13}{2^19*(2x)^-7}\)

Afterwards, it takes 20 seconds to arrive to the final result


How are you even supposed to know that 2*1.701 = 3.402??? I'm supposed to hand-multiply that out on the test?

Kudos [?]: 20 [0], given: 28

Re: (6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7   [#permalink] 30 Aug 2015, 08:00
Display posts from previous: Sort by

(6.804)^6*(1.701)^-13/(2)^19*(3.402)^-7

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


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