It is currently 18 Jun 2019, 17:14
My Tests

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.

QOTD#19 Evaluate the fraction

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 [0], given: 397

QOTD#19 Evaluate the fraction [#permalink] New post 16 Dec 2016, 18:53
Expert's post
00:00

Question Stats:

100% (346:15) correct 0% (00:00) wrong based on 4 sessions
\(\frac{210^2 * 21^3 * 49^{0.5}}{30^4*3} = 7^x\)


Enter the value of x.

Drill 4
Question: 13
Page: 295


[Reveal] Spoiler: OA
6

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 [1] , given: 397

Re: QOTD#19 Evaluate the fraction [#permalink] New post 16 Dec 2016, 19:06
1
This post received
KUDOS
Expert's post
Explanation

Break down the left side of the equation into prime factors to make it easier to simplify. You should get:

\(\frac{(3^2 \times 7^2 \times 2^2 \times 5^2) \times (3^3 \times 7^3) \times 7}{(2^4 \times 5^4 \times 3^4)\times(3)}=7^x\)

Then group all the like terms:

\(\frac{2^4 \times 3^5 \times 5^4 \times 7^6}{2^4 \times 3^5 \times 5^4}=7^x\)

Everything cancels out on the left side except for \(7^6\), which makes 6 your answer.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Intern
Joined: 15 Dec 2016
Posts: 18
Followers: 0

Kudos [?]: 6 [0], given: 3

Re: QOTD#19 Evaluate the fraction [#permalink] New post 18 Dec 2016, 16:00
Can you please explain the significance of the .x and also shouldn't 210 simplify to 7*3*5*2 so where did you get 5^4 and 2^4 from in the numerator? I can only simplify it to 7^6/2^2 x 5^2, i.e. 7^6/100.
Intern
Intern
Joined: 24 May 2019
Posts: 28
Followers: 0

Kudos [?]: 16 [0], given: 0

Re: QOTD#19 Evaluate the fraction [#permalink] New post 24 May 2019, 00:19
The question is wrong
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 6901
Followers: 114

Kudos [?]: 1343 [0], given: 6316

CAT Tests
Re: QOTD#19 Evaluate the fraction [#permalink] New post 24 May 2019, 01:01
Expert's post
Fixed and now is correct.

Thanks
_________________

Get the 2 FREE GREPrepclub Tests

Re: QOTD#19 Evaluate the fraction   [#permalink] 24 May 2019, 01:01
Display posts from previous: Sort by

QOTD#19 Evaluate the fraction

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.