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

 It is currently 13 Dec 2018, 21:43

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# If (4^2)^3*2^6=2^y, what is the value of y?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51188
If (4^2)^3*2^6=2^y, what is the value of y?  [#permalink]

### Show Tags

12 Nov 2017, 00:00
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:32) correct 11% (02:04) wrong based on 60 sessions

### HideShow timer Statistics

If $$(4^2)^3*2^6=2^y$$, what is the value of y?

(A) 6

(B) 12

(C) 18

(D) 36

(E) 72

_________________
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
If (4^2)^3*2^6=2^y, what is the value of y?  [#permalink]

### Show Tags

12 Nov 2017, 07:57
Bunuel wrote:
If $$(4^2)^3*2^6=2^y$$, what is the value of y?

(A) 6

(B) 12

(C) 18

(D) 36

(E) 72

$$(4^2)^3*2^6=2^y$$

or, $$((2^2)^2)^3*2^6=2^y$$

or $$2^{12}*2^6=2^y$$

so $$2^{12+6}=2^y$$

or $$2^{18}=2^y$$, hence $$18=y$$

Option C
Senior SC Moderator
Joined: 22 May 2016
Posts: 2207
If (4^2)^3*2^6=2^y, what is the value of y?  [#permalink]

### Show Tags

12 Nov 2017, 07:59
Bunuel wrote:
If $$(4^2)^3*2^6=2^y$$, what is the value of y?

(A) 6

(B) 12

(C) 18

(D) 36

(E) 72

$$(4^2)^3*2^6=2^y$$
$$(4^6)*2^6=2^y$$
$$((2^2)^6)*2^6=2^y$$
$$2^{12}*2^6=2^y$$

Bases are the same. Set exponents equal; for multiplication, add exponents.

(12 + 6) = y
y = 18

If (4^2)^3*2^6=2^y, what is the value of y? &nbs [#permalink] 12 Nov 2017, 07:59
Display posts from previous: Sort by