NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 21:35 It is currently 25 Apr 2024, 21:35
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Which of the following is equivalent to 6^5/3^−3?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619051 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   15 Feb 2017, 03:20
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

93% (00:41) correct 7% (00:58) wrong based on 90 sessions
Hide Show timer Statistics
Which of the following is equivalent to \(\frac{6^5}{3^{(−3)}}\)?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5
ShowHide Answer
Official Answer
D
avatar
B
giobas
Intern
Intern
Joined: 09 Sep 2016
Posts: 35
Own Kudos [?]: 284 [1]
Given Kudos: 10
Location: Georgia
Concentration: Finance, International Business
GPA: 3.75
WE:Analyst (Investment Banking)
Send PM
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   15 Feb 2017, 05:11
1
Kudos
6^5/3^-3 = 2^5 *3^5 *3^3 = 2^5 *3^8

answer is D
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   15 Feb 2017, 08:14
Bunuel wrote:
Which of the following is equivalent to \(\frac{6^5}{3^{(−3)}}\)?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5


\(\frac{6^5}{3^{(−3)}}\)

\(=\frac{2^5*3^5}{3^{(−3)}}\)

\(= 2^5*3^{5+3}\)

\(= 2^5*3^8\)

Thus, answer will be (D) \(2^5*3^8\)
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5960
Own Kudos [?]: 13387 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   15 Feb 2017, 09:52
Expert Reply
Bunuel wrote:
Which of the following is equivalent to \(\frac{6^5}{3^{(−3)}}\)?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5


(6^5)/3^-3 = (2^5 *3^5) *3^3 = 2^5 *3^8

Answer : Option D
User avatar
S
Sirakri
Current Student
Joined: 11 Oct 2015
Status:Preparing for GMAT!!
Posts: 112
Own Kudos [?]: 53 [0]
Given Kudos: 109
Location: India
Concentration: Entrepreneurship, International Business
Schools: Molson '20 (A) ISB '19 (D) Babson '20 (A$) Olin '20 (D) Schulich Sept 18 Intake (WL)
GMAT 1: 660 Q47 V34
GMAT 2: 700 Q48 V38
GPA: 3.1
WE:General Management (Entertainment and Sports)
Send PM
GMAT ToolKit User
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   15 Feb 2017, 10:14
Bunuel wrote:
Which of the following is equivalent to \(\frac{6^5}{3^{(−3)}}\)?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5


Quote:
  • \(\frac{1}{a^{-m}}=a^{m}\) ---> 1
  • \((a*b)^m=a^m*b^m\) ---> 2
  • \(a^m*a^n=a^{m+n}\) ---> 3


\(\frac{6^5}{3^{(−3)}}\)
==> \(6^5*3^3\) [From 1]
==> \((3*2)^5*3^3\)
==> \(3^5*2^5*3^3\) [From 2]
==> \(2^5*3^{5+3}\) [From 3]
==> \(2^5*3^8\)

D.
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6275 [0]
Given Kudos: 1646
Send PM
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   16 Feb 2017, 12:19
Expert Reply
Bunuel wrote:
Which of the following is equivalent to \(\frac{6^5}{3^{(−3)}}\)?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5


Let’s simplify the given equation:

6^5/3^-3

(3^5 x 2^5)/3^-3

3^8 x 2^5

Answer: D
avatar
S
T700ISB
Intern
Intern
Joined: 31 Dec 2015
Posts: 35
Own Kudos [?]: 14 [0]
Given Kudos: 264
Location: India
Schools: ISB '19 (I) IIM Udaipur '19 (A) Great Lakes '19 S.P.Jain Institute
GMAT 1: 680 Q44 V39
GMAT 2: 670 Q44 V38
Send PM
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   16 Feb 2017, 21:45
Bunuel,

Is this a 600 level problem?

It can be solved in under 30 seconds, so just surprised.
avatar
B
Jayeshvekariya
Intern
Intern
Joined: 03 Jan 2017
Posts: 25
Own Kudos [?]: 15 [0]
Given Kudos: 5
Send PM
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink] New post   17 Feb 2017, 02:10
I think it is <600 question... Way easy for mid 600

Sent from my MotoG3 using GMAT Club Forum mobile app
GMAT Club Bot
gmatclubot
Re: Which of the following is equivalent to 6^5/3^−3? [#permalink]
17 Feb 2017, 02:10
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions