BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Exponent Problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Thu Aug 26, 2010 12:44 pm

Exponent Problem

by alicia » Tue Dec 27, 2011 2:53 pm
THANK YOU, in advance, for your help!
I encountered this question during my practice test and got lost somewhere in the middle:


If (1/5)^m * (1/4)^18 = 1/2(10)^35 , then m = ????


a) 17

b) 18

c) 34

d) 35

e) 36
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 am
Location: New Delhi, India
Thanked: 130 times
Followed by:9 members
GMAT Score:720

by rijul007 » Tue Dec 27, 2011 5:36 pm
alicia wrote:THANK YOU, in advance, for your help!
I encountered this question during my practice test and got lost somewhere in the middle:


If (1/5)^m * (1/4)^18 = 1/2(10)^35 , then m = ????


a) 17

b) 18

c) 34

d) 35

e) 36
(1/5)^m * (1/4)^18 = 1/2(10)^35 = 1/(2^36)(5^35)
(1/5)^m = (1/5)^35
m = 35

Option D
Top
User avatar
Legendary Member
Posts: 626
Joined: Fri Dec 23, 2011 2:50 am
Location: Ahmedabad
Thanked: 31 times
Followed by:10 members

by ronnie1985 » Tue Dec 27, 2011 7:45 pm
m = 35
Follow your passion, Success as perceived by others shall follow you
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Tue Dec 27, 2011 8:40 pm
alicia wrote:THANK YOU, in advance, for your help!
I encountered this question during my practice test and got lost somewhere in the middle:


If (1/5)^m * (1/4)^18 = 1/2(10)^35 , then m = ????

a) 17
b) 18
c) 34
d) 35
e) 36
(1/5)^m * (1/4)^18 = 1/2(10)^35
(1/5)^m * [1/(2^2)]^18 = 1/[2(2 * 5)^35]
(1/5)^m * [1/2^36] = 1/[2 * (2^ 35) * (5^35)]
(1/5)^m * [1/2^36] = 1/[2^ 36 * 5^35]
(1/5)^m = (1/5)^35
Since bases are the same, so exponents will also be the same.
Therefore, m = 35

The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Post new topic Post Reply
• Page 1 of 1