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

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

exponents problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Wed May 13, 2009 5:40 am
Location: MN
Thanked: 1 times
GMAT Score:580
by LFalken » Wed Jun 10, 2009 7:32 am
What is the Value of 'm' ?

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


I believe m=35

could someone please find the time to verify this is the correct answer and explain the solution. I would be very thankful if so... I'm having trouble with this one....
LFAL
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 472
Joined: Sun Mar 29, 2009 6:54 pm
Thanked: 56 times

by ssmiles08 » Wed Jun 10, 2009 7:39 am
IMO 35 as well.

1/(2*10^35) = 1/(2*(2*5)^35)

5^35 = 5^m
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Wed May 13, 2009 5:40 am
Location: MN
Thanked: 1 times
GMAT Score:580

by LFalken » Wed Jun 10, 2009 7:49 am
Ssmiles08,

Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
LFAL
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Wed May 13, 2009 5:40 am
Location: MN
Thanked: 1 times
GMAT Score:580

by LFalken » Wed Jun 10, 2009 7:50 am
Ssmiles08,

Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
LFAL
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 472
Joined: Sun Mar 29, 2009 6:54 pm
Thanked: 56 times

by ssmiles08 » Wed Jun 10, 2009 8:04 am
LFalken wrote:Ssmiles08,

Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
yes sure.

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

(1/5)^m = 1/5^m

(1/4)^18 = ((1/2)^2)^18 = 1/2^36

1/((2*(10)^35)) = 1/(2*(2*5)^35)

so its 1/5^m * 1/2^36 = 1/(2*2^35*5^35)

2*2^35 = 2^36

5^35 = 5^m
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 752
Joined: Sun May 17, 2009 11:04 pm
Location: Tokyo
Thanked: 81 times
GMAT Score:680

by tohellandback » Wed Jun 10, 2009 8:06 am
LFALKEN,
(1/5)^m * (1/4)^18 = 1/((2*(10)^35))

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

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

so m=35
The powers of two are bloody impolite!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Wed May 13, 2009 5:40 am
Location: MN
Thanked: 1 times
GMAT Score:580

by LFalken » Wed Jun 10, 2009 8:23 am
ssmiles08, and tohellandback....

Thank you both very much for your responses... they both cleared things up for me. I appreciate it!
LFAL
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1