It is currently 10 Dec 2018, 23:58
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.

if 2^x * 3^y = 288, where x and y are +ve integers then (2^x

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 553
Followers: 4

Kudos [?]: 477 [1] , given: 84

CAT Tests
if 2^x * 3^y = 288, where x and y are +ve integers then (2^x [#permalink] New post 04 Sep 2018, 22:20
1
This post received
KUDOS
00:00

Question Stats:

100% (00:44) correct 0% (00:00) wrong based on 5 sessions
if \(2^x * 3^y = 288\), where x and y are +ve integers then \((2^{x-1})(3^{y-2})\)is equal to?

src:orbit test prep
[Reveal] Spoiler:
16
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1232
Followers: 45

Kudos [?]: 1113 [1] , given: 7

Re: if 2^x * 3^y = 288, where x and y are +ve integers then (2^x [#permalink] New post 11 Sep 2018, 10:46
1
This post received
KUDOS
Expert's post
amorphous wrote:
if \(2^x * 3^y = 288\), where x and y are +ve integers then \((2^{x-1})(3^{y-2})\)is equal to?

src:orbit test prep
[Reveal] Spoiler:
16


Many students will first try to use the given information to first determine the values of x and y, and THEN use those values to evaluate the expression at hand.
However, we can save some time by recognizing that....
(2^x)/(2^1) = 2^(x-1)
and (3^y)/(3^2) = 3^(y-2)

GIVEN: (2^x)(3^y) = 288
Divide both sides by 2^1 (aka 2) to get: (2^x)(3^y)/(2^1) = 288/2
Simplify both sides to get: [2^(x-1)](3^y) = 144
Divide both sides by 3^2 (aka 9) to get: [2^(x-1)](3^y)/(3^2) = 144/9
Simplify both sides to get: [2^(x-1)][3^(y-2)] = 16

Answer: 16

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Re: if 2^x * 3^y = 288, where x and y are +ve integers then (2^x   [#permalink] 11 Sep 2018, 10:46
Display posts from previous: Sort by

if 2^x * 3^y = 288, where x and y are +ve integers then (2^x

  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®.