Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 01:58

### 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 2^A = 3 and 2^B = 5, then 2^(2A + B) =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56261
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

### Show Tags

23 Aug 2018, 23:22
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:04) correct 29% (02:13) wrong based on 48 sessions

### HideShow timer Statistics

If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

A. 11
B. 30
C. 45
D. 75
E. 225

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 980
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

### Show Tags

23 Aug 2018, 23:29
$$2^{2A+B}$$ can be written as $$2^{2A}$$$$2^B$$ = $$2^{{A}2}2^B$$ = $$3^2$$5 = 9*5 = 45.

_________________
Press +1 Kudos If my post helps!
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

### Show Tags

23 Aug 2018, 23:30
Bunuel wrote:
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

A. 11
B. 30
C. 45
D. 75
E. 225

$$2^{2A + B}=2^{2A}*2^B=(2^A)^2*2^B=3^2*5=9*5=45$$

Ans. (C)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
VP
Joined: 31 Oct 2013
Posts: 1392
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

### Show Tags

24 Aug 2018, 03:34
Bunuel wrote:
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

A. 11
B. 30
C. 45
D. 75
E. 225

Given ,

2^A = 3

2^B = 5.

$$2^(2A + B)$$

= $$2^{(2A)} 2^B$$

=$$(2^A)^2 *5$$

= $$3^2 *5$$

= 45.

.
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =   [#permalink] 24 Aug 2018, 03:34
Display posts from previous: Sort by