It is currently 15 Nov 2018, 06:55
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.

The operator ! is defined such that a!b = a^b

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4876
Followers: 74

Kudos [?]: 973 [0], given: 4479

CAT Tests
The operator ! is defined such that a!b = a^b [#permalink] New post 16 Sep 2017, 15:40
Expert's post
00:00

Question Stats:

90% (00:51) correct 10% (05:52) wrong based on 10 sessions



The operator ! is defined such that \(a!b = a^b * b^{-a}\)

Quantity A
Quantity B
\(\frac{x!4}{4!x}\)
\(\frac{x^8}{16^x}\)



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

Director
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 327 [0], given: 66

Re: The operator ! is defined such that a!b = a^b [#permalink] New post 28 Sep 2017, 08:13
Column A is \(\frac{x^44^{-x}}{4^xx^{-4}}\). Then using the properties of exponentials, \(\frac{x^4}{x^{-4}} = x^8\) and \(\frac{4^{-x}}{4^x} = \frac{1}{4^{2x}} = \frac{1}{16^x}\). Thus, column A can be rewritten as \(\frac{x^8}{16^x}\) that is exactly the expression of column B.

Thus, answer C!
Re: The operator ! is defined such that a!b = a^b   [#permalink] 28 Sep 2017, 08:13
Display posts from previous: Sort by

The operator ! is defined such that a!b = a^b

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.