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

Redeem

Question from Gmat Prep- Help please! 2

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Community Manager
Posts: 1060
Joined: Fri May 13, 2011 6:46 am
Location: Utrecht, The Netherlands
Thanked: 318 times
Followed by:52 members

by neelgandham » Fri Apr 13, 2012 1:18 pm
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)
multiply left hand side and right hand side with 2^36, leaving:
1/5^m = 1/5^35
Bases are equal, so should be exponents. Hence the value of m = 35
Option D
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
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 » Fri Apr 13, 2012 5:33 pm
bobdylan wrote: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 * (1/4)^18= 1/[2 * 2^35 * 5^35]
Now all the answer choices are only integers, and power of 5 on both sides should be equal. The power of 5 is 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
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Fri Apr 13, 2012 6:04 pm
Do only as much math as necessary. I posted a solution here:

https://www.beatthegmat.com/pleasssseee- ... 95762.html
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1