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

 It is currently 19 Nov 2019, 02:45 ### 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^k = 3, then 2^(3k+2) =

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 59144
If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

1
6 00:00

Difficulty:   25% (medium)

Question Stats: 69% (01:20) correct 31% (01:42) wrong based on 272 sessions

### HideShow timer Statistics

If 2^k = 3, then 2^(3k+2) =

A. 29
B. 54
C. 81
D. 83
E. 108

Kudos for a correct solution.

_________________
SVP  Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1729
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

4

$$2^{3k+2} = 2^{3k} * 2^2 = (2^{k})^{3} * 4 = 3^3 * 4 = 108$$
_________________
Kindly press "+1 Kudos" to appreciate Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2812
Re: If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

1
Bunuel wrote:
If 2^k = 3, then 2^(3k+2) =

A. 29
B. 54
C. 81
D. 83
E. 108

We need to determine the value of (2^3k)(2^2) or (2^3k)(4).

Since 2^k = 3, 2^3k = (2^k)^3 = 3^3 = 27.

Therefore, (2^3k)(4) = 27 x 4 = 108.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Retired Moderator B
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 299
If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

Bunuel wrote:
If 2^k = 3, then 2^(3k+2) =

A. 29
B. 54
C. 81
D. 83
E. 108

Kudos for a correct solution.

2^k=3
2^3k=3^3
2^3k=27

2^(3k+2)
=2^3k*2^2
=27*4
=108

Math Expert V
Joined: 02 Sep 2009
Posts: 59144
Re: If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

Bunuel wrote:
If 2^k = 3, then 2^(3k+2) =

A. 29
B. 54
C. 81
D. 83
E. 108

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:
Attachment: 2tothepow3_exp.png [ 26.12 KiB | Viewed 6331 times ]

_________________
Director  V
Joined: 06 Jan 2015
Posts: 693
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

Bunuel wrote:
If 2^k = 3, then 2^(3k+2) =

A. 29
B. 54
C. 81
D. 83
E. 108

Kudos for a correct solution.

2^k = 3---I

2^(3k+2)=(2^3k)*(2^2)

Cube I and multiple with 2^2

(2^k)^3==>3^3==>27*4=108
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Board of Directors P
Joined: 17 Jul 2014
Posts: 2496
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30 GPA: 3.92
WE: General Management (Transportation)
Re: If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

pretty straight forward...
you need to be careful on re-writing everything
2^(3k+2) can be rewritten as (2^k)^3 * 2^2
(2^k)^3 = 3^3 = 27
2^2 = 4

27*4 = 108
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3308
Location: India
GPA: 3.12
If 2^k = 3, then 2^(3k+2) =  [#permalink]

### Show Tags

Bunuel wrote:
If 2^k = 3, then 2^(3k+2) =

A. 29
B. 54
C. 81
D. 83
E. 108

Kudos for a correct solution.

Given: $$2^k = 3$$

Expanding the expression we have at hand, we will get the following

$$2^{3k+2} = 2^{3k}*2^2 = (2^k)^3*4 = 3^3*4 = 27*4 = 108$$

Therefore, the value of the expression $$2^{3k+2}$$ is 108 (Option A)
_________________
You've got what it takes, but it will take everything you've got If 2^k = 3, then 2^(3k+2) =   [#permalink] 05 Oct 2018, 22:37
Display posts from previous: Sort by

# If 2^k = 3, then 2^(3k+2) =  