GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Nov 2018, 19:58

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

9^k*27^(2k) =

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
9^k*27^(2k) =  [#permalink]

Show Tags

New post 23 Oct 2018, 20:53
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

96% (00:29) correct 4% (00:49) wrong based on 46 sessions

HideShow timer Statistics

Manager
Manager
User avatar
S
Joined: 13 Jan 2018
Posts: 91
Location: India
GMAT 1: 580 Q47 V23
GPA: 4
Reviews Badge
Re: 9^k*27^(2k) =  [#permalink]

Show Tags

New post 23 Oct 2018, 21:29
3^2k * 3^6k

3^(2k+6k)

3^8k

OPTION : B
_________________

____________________________
Regards,

Chaitanya



+1 Kudos

if you like my explanation!!!

Intern
Intern
avatar
B
Joined: 23 Oct 2018
Posts: 6
GMAT 1: 760 Q50 V42
9^k*27^(2k) =  [#permalink]

Show Tags

New post 23 Oct 2018, 22:06
1
Pretty straightforward question if we remember our exponent properties.

\(((a^b)^c) = a^{bc}\)
\((a^b * a^c) = a^{b+c}\)

Applying here...
\(9^k∗27^{2k}=\)
\((3^2)^k∗(3^3)^{2k}=\)
\(3^{2k}*(3^{6k})=\)
\(3^{8k}\)

Answer B.
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4230
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: 9^k*27^(2k) =  [#permalink]

Show Tags

New post 23 Oct 2018, 22:10
Bunuel wrote:
\(9^k*27^{2k} =\)


A. \(3^{5+3k}\)

B. \(3^{8k}\)

C. \(3^{11k}\)

D. \(3^{12k}\)

E. \(3^{12k^2}\)


\(9^k*27^{2k}\)

Or, \(3^{2k}*3^{6k}\)

Or, \(3^{8k}\), Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 2203
Re: 9^k*27^(2k) =  [#permalink]

Show Tags

New post 24 Oct 2018, 02:57

Solution


Given:
    • \(9^k * 27^{2k}\)

To find:
    • Which of the given answer choices is equal to the given expression

Approach and Working:
    • \(9^k * 27^{2k} = 3^{2k} * 3^{3*2k} = 3^{2k + 6k} = 3^{8k}\)

Hence the correct answer is Option B.

Answer: B

Image

_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Director
Director
User avatar
P
Joined: 31 Oct 2013
Posts: 794
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
9^k*27^(2k) =  [#permalink]

Show Tags

New post 24 Oct 2018, 04:06
Bunuel wrote:
\(9^k*27^{2k} =\)


A. \(3^{5+3k}\)

B. \(3^{8k}\)

C. \(3^{11k}\)

D. \(3^{12k}\)

E. \(3^{12k^2}\)



\(9^k 27^{2k}\)

\(3^{2k} 3^{6k}\)

\(3^{8k}\)

The best answer is B.
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: 9^k*27^(2k) =  [#permalink]

Show Tags

New post 25 Oct 2018, 16:59
Bunuel wrote:
\(9^k*27^{2k} =\)


A. \(3^{5+3k}\)

B. \(3^{8k}\)

C. \(3^{11k}\)

D. \(3^{12k}\)

E. \(3^{12k^2}\)


The key to this problem’s solution is to re-express each of the numbers such that the base is 3.

We see that 9^k = (3^2)^k = 3^2k and 27^2k = (3^3)^2k = 3^6k

Thus, 9^k x 27^2k = 3^2k x 3^6k = 3^8k

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: 9^k*27^(2k) = &nbs [#permalink] 25 Oct 2018, 16:59
Display posts from previous: Sort by

9^k*27^(2k) =

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.