 It is currently 19 Nov 2019, 08:38 ### 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

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: Director  Joined: 07 Jan 2018
Posts: 694
Followers: 10

Kudos [?]: 693  , given: 88

if 2^x * 3^y = 288, where x and y are +ve integers then (2^x [#permalink]
1
KUDOS 00:00

Question Stats: 100% (00:47) correct 0% (00:00) wrong based on 6 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 GRE Instructor Joined: 10 Apr 2015
Posts: 2570
Followers: 91

Kudos [?]: 2737  , given: 40

Re: if 2^x * 3^y = 288, where x and y are +ve integers then (2^x [#permalink]
1
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

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com 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 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®.