Fractions and Powers : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 10:30

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Fractions and Powers

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 29 Nov 2009
Posts: 22
Location: Toronto
Followers: 0

Kudos [?]: 16 [1] , given: 5

Fractions and Powers [#permalink]

### Show Tags

22 Dec 2009, 14:58
1
This post received
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

96% (01:58) correct 4% (01:56) wrong based on 56 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hi everyone,
I did the GMATPrep exam yesterday and here was my first question. Kind of threw me off . Any thoughts?
$$(\frac{1}{5})^m (\frac{1}{4})^{18} = \frac{1}{2(10)^m}$$

m=
a.17
b.18
c.34
d.35
e.36

[Reveal] Spoiler:
D. 35
Intern
Joined: 13 Dec 2009
Posts: 11
Followers: 0

Kudos [?]: 4 [2] , given: 7

Re: Fractions and Powers [#permalink]

### Show Tags

22 Dec 2009, 18:18
2
This post received
KUDOS
split the 10 into 5^m * 2^m

(1/5)^m * (1/4)^18 = 1/2 * (1/5^m *1/2^m)

1/5^m cancels on both sides

and (1/4)^18 can be written as (1/2)^36

so
(1/2)^36 = 1/2 * 1/2^m

1/2^35 = 1/2^m

M = 35

does this help you... ?
Manager
Joined: 23 Nov 2009
Posts: 53
Followers: 1

Kudos [?]: 11 [0], given: 1

Re: Fractions and Powers [#permalink]

### Show Tags

22 Dec 2009, 19:31
M=35
Split the right side
_________________

A kudos would greatly help

Tuhin

Manager
Joined: 13 Oct 2009
Posts: 115
Location: USA
Schools: IU KSB
Followers: 4

Kudos [?]: 82 [1] , given: 66

Re: Fractions and Powers [#permalink]

### Show Tags

22 Dec 2009, 19:49
1
This post received
KUDOS
brentbrent wrote:
Hi everyone,
I did the GMATPrep exam yesterday and here was my first question. Kind of threw me off . Any thoughts?
$$(\frac{1}{5})^m (\frac{1}{4})^{18} = \frac{1}{2(10)^m}$$

m=
a.17
b.18
c.34
d.35
e.36

[Reveal] Spoiler:
D. 35

$$(\frac{2*2^m *5^m}{5^m})= 2^{2*18}$$

$$2^{m+1}=2^{36}$$

$$m+1=36$$

$$m=35$$
Intern
Joined: 29 Nov 2009
Posts: 22
Location: Toronto
Followers: 0

Kudos [?]: 16 [0], given: 5

Re: Fractions and Powers [#permalink]

### Show Tags

22 Dec 2009, 20:34
*...is seen smacking palm on face*

thanks guys.
Manager
Joined: 09 May 2009
Posts: 203
Followers: 1

Kudos [?]: 225 [0], given: 13

Re: Fractions and Powers [#permalink]

### Show Tags

22 Dec 2009, 20:39
[(1/5)^m]*[1/4]^18=[(1/2)*(1/10^m)]

(1/5)^m * (1/2)^36 - [ (1/2)*(1/2^m)*(1/5^m)]=0
(1/5)^m[(1/2)^36-(1/2)^m+1]=0
(1/2)^36=(1/2)^m+1
---->m+1=36
m=35
_________________

GMAT is not a game for losers , and the moment u decide to appear for it u are no more a loser........ITS A BRAIN GAME

Re: Fractions and Powers   [#permalink] 22 Dec 2009, 20:39
Display posts from previous: Sort by

# Fractions and Powers

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO 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®.