It is currently 23 Oct 2017, 23:35

### 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

# If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 2164
Followers: 30

Kudos [?]: 314 [0], given: 1279

If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the [#permalink]  23 May 2017, 02:47
Expert's post
00:00

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

If a = (27)(3^^{-2} ) and x = (6)(3 ^{-1} ), then which of the following is equivalent to (12)(3 ^{-x} ) * (15)(2 ^{-a} ) ?

A) 5(–2245)(320)

B) \frac{2}{5}

C) \frac{5}{2}

D) 5(24)(38)

E) 5(2245)(320)
[Reveal] Spoiler: OA

_________________
Senior Manager
Joined: 03 Sep 2017
Posts: 409
Followers: 0

Kudos [?]: 124 [0], given: 64

Re: If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the [#permalink]  10 Oct 2017, 08:08
Carcass wrote:

If a = (27)(3^^{-2} ) and x = (6)(3 ^{-1} ), then which of the following is equivalent to (12)(3 ^{-x} ) * (15)(2 ^{-a} ) ?

A) 5(–2245)(320)

B) \frac{2}{5}

C) \frac{5}{2}

D) 5(24)(38)

E) 5(2245)(320)

a can be rewritten as \frac{27}{9} = 3 and x as \frac{6}{3} = 2. Then, the expression becomes

(12)(3 ^{-2} ) * (15)(2 ^{-2} ) = \frac{12}{9}*\frac{15}{4} = \frac{5}{2}.

Re: If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the   [#permalink] 10 Oct 2017, 08:08
Display posts from previous: Sort by