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.

GMAT prep

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members
Thanked: 331 times

by cramya » Sun Sep 28, 2008 5:02 pm
We need to get the bases to match on LHS and RHS

5 ^ 21 * 4 * 11 = 2 * 10 ^ N

<=> 5 ^ 21 * 2 ^ 22 = 2 * 10 ^ N (4 = 2 ^ 2 using formula (a^b)^c = a ^ (b*c) where a= 2 b =2 c = 11)
<=> 5 ^ 21 * 2 ^ 21 * 2 = 2 * 10 ^ N (splitting 2 ^ 22 as 2 ^ 21 * (2 ^ 1 which is 2)
<=> 2 * (10) ^ 21 = 2 * 10 ^ N (5 ^ 21 and 2 ^ 21 can be combined as 10 ^ 21 using the exponent rule (a^n * b ^n = (ab)^n)

N = 21
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 31
Joined: Sun Jul 27, 2008 12:41 pm
Location: New York, NY
Thanked: 2 times

Good test of your knowledge re: properties of exponents

by Azntycoon » Sun Sep 28, 2008 5:10 pm
(5^21)(4^11) = (2)(10^n)
(5^21)(2^2)^11) = (2)(10^n)
(5^21)(2^22) = (2)(10^n)
(5^21)(2^21)(2) = (2)(10^n)
(2)(10^21) = (2)(10^n)

Eliminate the bases (2 and 10), leaving you with n = 21

ps. I think this question has been posted before, so pls 2x check as per rules of this board.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1