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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

PS - Exponent

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

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

by Anurag@Gurome » Tue Dec 13, 2011 7:34 pm
karthikpandian19 wrote:See the attached figure for ref.
Image

R = 3^81

R^R = 3^S

What is S?

a. 3
b. 81
c. 3^81
d. 3^85
e. 3^87
R = 3^81
(3^81)^(3^81) = 3^S
[3^(3^4)]^(3^81) = 3^S
[3^(3^85)] = 3^S
Since bases are same, so exponents will also be equal.
Hence, S = [spoiler]3^85[/spoiler]

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
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times

by karthikpandian19 » Tue Dec 13, 2011 10:26 pm
Anurag,

I am still unable to understand your answer.....from


R = 3^81
(3^81)^(3^81) = 3^S
[3^(3^4)]^(3^81) = 3^S......how it is proceeded to the next step
[3^(3^85)] = 3^S
Since bases are same, so exponents will also be equal.
Hence, S = [spoiler]3^85[/spoiler]


Anurag@Gurome wrote:
karthikpandian19 wrote:See the attached figure for ref.
Image

R = 3^81

R^R = 3^S

What is S?

a. 3
b. 81
c. 3^81
d. 3^85
e. 3^87
R = 3^81
(3^81)^(3^81) = 3^S
[3^(3^4)]^(3^81) = 3^S
[3^(3^85)] = 3^S
Since bases are same, so exponents will also be equal.
Hence, S = [spoiler]3^85[/spoiler]

The correct answer is D.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

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

by Anurag@Gurome » Wed Dec 14, 2011 2:53 am
karthikpandian19 wrote:Anurag,

I am still unable to understand your answer.....from


R = 3^81
(3^81)^(3^81) = 3^S
[3^(3^4)]^(3^81) = 3^S......how it is proceeded to the next step
[3^(3^85)] = 3^S
Since bases are same, so exponents will also be equal.
Hence, S = [spoiler]3^85[/spoiler]
Image
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
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times

by karthikpandian19 » Thu Dec 15, 2011 12:48 am
Thank you for your explanation, now i understood.....
Anurag@Gurome wrote:
karthikpandian19 wrote:Anurag,

I am still unable to understand your answer.....from


R = 3^81
(3^81)^(3^81) = 3^S
[3^(3^4)]^(3^81) = 3^S......how it is proceeded to the next step
[3^(3^85)] = 3^S
Since bases are same, so exponents will also be equal.
Hence, S = [spoiler]3^85[/spoiler]
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 24
Joined: Sun Aug 21, 2011 8:41 pm
Thanked: 5 times

by naveenchandra kv » Thu Dec 15, 2011 1:21 am
R = 3^81
(3^81)^(3^81) = 3^S (Split the 81 in the first term into 3^4)
[3^(3^4)]^(3^81) = 3^S......(Please note that a^m^n=a^mn)
Therefore, add 3^4 with 3^81 which becomes 3^85
SO we have 3 raise to 3^85 on LHS and 3^S on RHS
SO S becomes, 3^85.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1