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 →

What is the value of (2^64)^(2^64)

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 102
Joined: Sat Feb 20, 2010 5:38 am
Location: IIM Ahmedabad
Thanked: 10 times

by firdaus117 » Wed Feb 24, 2010 12:38 pm
Take log to base 2 on both sides,

log 2^p=logd^d
p=d*log d
=2^64*log 2^64
=2^64*64
=2^64*2^6
=2^70
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Wed Dec 30, 2009 7:40 am

by rayyogi » Wed Feb 24, 2010 1:17 pm
Of all the GMAT material that I covered, never came across "log" and its usage. Not sure if I missed it completely. Is there any other way to solve this without using "log"
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 140
Joined: Fri Feb 05, 2010 2:43 pm
Thanked: 3 times
GMAT Score:720

by analyst218 » Wed Feb 24, 2010 1:51 pm
i got the same question.. last week when i took the real test.
this is how i did it. (simplification)

[2^64]^[2^64] = 2^[64*2^64] = 2^[2^6 * 2^64] = 2^[2^70]
p=2^70

did u take it on 2/20?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Wed Dec 30, 2009 7:40 am

by rayyogi » Wed Feb 24, 2010 2:13 pm
I took the test on 2/16.

p=2^70 doesn't seem right.

As far as I can remember the highest number in the answer choices was around 1024. Other choices were 64, 128, 32 and some other small number (less than 1000) that I can't remember
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 140
Joined: Fri Feb 05, 2010 2:43 pm
Thanked: 3 times
GMAT Score:720

by analyst218 » Wed Feb 24, 2010 2:19 pm
it's right.
look at it this way.
think 2^64 as an integer, say X. then [2^64]^X would be 2^(64*X) right?
64 = 2^6 and plug in 2^64 in X then you get 2^64 * 2^6 = 2^70. thus p=2^70.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Wed Dec 30, 2009 7:40 am

by rayyogi » Wed Feb 24, 2010 7:39 pm
Seems logical. May be its correct.

Thank you.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1