Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 03 Oct 2010
Posts: 4

2^(41)^2/2^(32) [#permalink]
Show Tags
07 Nov 2010, 12:21
3
This post received KUDOS
2
This post was BOOKMARKED
Question Stats:
64% (01:20) correct
36% (00:23) wrong based on 421 sessions
HideShow timer Statistics
\(\frac{2^{(41)^2}}{2^{(32)}}=\) A. 2^8 B. 2^7 C. 2^6 D. 2^5 E. 2^4 I'm overlooking something incredibly basic here. I know it. It's the first question I got on the GMAT prep math and I was shocked to see I got it WRONG. I've looked over it time and again, but can't find how to get the answer they are saying. They insist it's A, but I can take one look at that and see they are asking 2^6 over 2^2. Which would be 2^4. What am I missing?
Official Answer and Stats are available only to registered users. Register/ Login.
Last edited by Bunuel on 10 Oct 2013, 04:05, edited 1 time in total.
Edited the question.



Manager
Status: Getting ready for the internship summer
Joined: 07 Jun 2009
Posts: 51
Location: Rochester, NY
Schools: Simon
WE 1: JPM  Treasury

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
07 Nov 2010, 12:36
The parenthesis leads me to believe the question requires you to first square the result of (41). This would simplify the question to:
\(\frac{2^9}{2^2} = 2^7\)



Intern
Joined: 03 Oct 2010
Posts: 4

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
07 Nov 2010, 12:44
1
This post received KUDOS
LJ wrote: The parenthesis leads me to believe the question requires you to first square the result of (41). This would simplify the question to:
\(\frac{2^9}{2^2} = 2^7\) *blink blink* There has got to be a better way to display that...



Manager
Status: Getting ready for the internship summer
Joined: 07 Jun 2009
Posts: 51
Location: Rochester, NY
Schools: Simon
WE 1: JPM  Treasury

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
07 Nov 2010, 12:56
Pollux wrote: LJ wrote: The parenthesis leads me to believe the question requires you to first square the result of (41). This would simplify the question to:
\(\frac{2^9}{2^2} = 2^7\) *blink blink* There has got to be a better way to display that... Can you post a screenshot of what it looked like on the test screen?



Math Expert
Joined: 02 Sep 2009
Posts: 39589

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
07 Nov 2010, 13:11
2
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
Pollux wrote: I'm overlooking something incredibly basic here. I know it. It's the first question I got on the GMAT prep math and I was shocked to see I got it WRONG. I've looked over it time and again, but can't find how to get the answer they are saying. They insist it's A, but I can take one look at that and see they are asking 2^6 over 2^2. Which would be 2^4. What am I missing?
2^(41)^2 over 2^(31)
A) 2^8 B) 2^7 C) 2^6 D) 2^5 E) 2^4 Writing mathematical symbols in posts: writingmathematicalsymbolsinposts72468.htmlAlso please check the questions when posting. Original question is \(\frac{2^{(41)^2}}{2^{(32)}}=?\) If exponentiation is indicated by stacked symbols, the rule is to work from the top down, thus: \(a^m^n=a^{(m^n)}\) and not \((a^m)^n\), which on the other hand equals to \(a^{mn}\). So: \((a^m)^n=a^{mn}\); \(a^m^n=a^{(m^n)}\) and not \((a^m)^n\). According to above:\(\frac{2^{(41)^2}}{2^{(32)}}=\frac{2^{3^2}}{2}=\frac{2^{(3^2)}}{2}=\frac{2^9}{2}=2^8\). Answer: A. For more check Number Theory chapter of Math Book: mathnumbertheory88376.htmlHope it helps.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Status: Planning to retake.
Affiliations: Alpha Psi Omega
Joined: 25 Oct 2010
Posts: 89
Concentration: General Management, Entrepreneurship
GRE 1: 1310 Q630 V680
GPA: 3.16

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
07 Nov 2010, 13:25
Bunuel replied before I posted mine. It all makes sense now. Top down. Top down. Top down. Good to know!
_________________
Did I help you? Please give me kudos.
Each moment of time ought to be put to proper use, either in business, in improving the mind, in the innocent and necessary relaxations and entertainments of life, or in the care of the moral and religious part of our nature.
William Andrus Alcott



Intern
Joined: 03 Nov 2010
Posts: 5

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
07 Nov 2010, 20:26
i am new to this forum...please provide me complete information.



Senior Manager
Joined: 25 Jul 2010
Posts: 300
Location: India
Concentration: Strategy, Technology
GPA: 3.2
WE: Engineering (Computer Software)

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
07 Nov 2010, 20:30
Bunuel corrected the question and explained the answer! I will never be able to beat that! I guess what Pollux missed is that he thought 2^(3^2) = 2^6 but in fact it is 2^9.



Current Student
Joined: 10 Aug 2009
Posts: 69
Location: United States (VA)
Concentration: Entrepreneurship, Strategy
WE: Business Development (Other)

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
08 Nov 2010, 16:53
Bunuel wrote: Pollux wrote: I'm overlooking something incredibly basic here. I know it. It's the first question I got on the GMAT prep math and I was shocked to see I got it WRONG. I've looked over it time and again, but can't find how to get the answer they are saying. They insist it's A, but I can take one look at that and see they are asking 2^6 over 2^2. Which would be 2^4. What am I missing?
2^(41)^2 over 2^(31)
A) 2^8 B) 2^7 C) 2^6 D) 2^5 E) 2^4 Writing mathematical symbols in posts: writingmathematicalsymbolsinposts72468.htmlAlso please check the questions when posting. Original question is \(\frac{2^{(41)^2}}{2^{(32)}}=?\) If exponentiation is indicated by stacked symbols, the rule is to work from the top down, thus: \(a^m^n=a^{(m^n)}\) and not \((a^m)^n\), which on the other hand equals to \(a^{mn}\). So: \((a^m)^n=a^{mn}\); \(a^m^n=a^{(m^n)}\) and not \((a^m)^n\). According to above:\(\frac{2^{(41)^2}}{2^{(32)}}=\frac{2^{3^2}}{2}=\frac{2^{(3^2)}}{2}=\frac{2^9}{2}=2^8\). Answer: A. For more check Number Theory chapter of Math Book: mathnumbertheory88376.htmlHope it helps. I am just curious as I got when the OP posted they said it was \(\frac{2^{(41)^2}}{2^{(31)}}=?\) and when you answered it you changed the denominator's exponent from (31) to (32), was it just a typo by the OP? I"m confused because I got 2^7
_________________
"Popular opinion is the greatest lie in the world"Thomas Carlyle



Senior Manager
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 292
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
08 Nov 2010, 17:51
Answer: BExplanation: \(\frac{{2^{(41)^2}}}{{2^{(31)}}} = \frac{{2^{3^2}}}{{2^2}} = \frac{{2^9}}{{2^2}} = 2^{(92)} = 2^7\) Remember that \(2^{3^2}\) is not same to \((2^3)^2\) because the formulas are \(2^{x^y}\) and \((2^x)^y = 2^{xy}\)are different from each other and if we solve \(2^{3^2}\) we get \(2^9\) (here solve from top to down) and by solving \((2^3)^2\)we get \(2^6=64\) or \(8^2=64\) Please! check your Official Answer because the answer can't be \(2^8\) by solving with the forum timer, I got it wrong as it says that OA is A, which according to rule can't be (just explained above).
_________________
"I choose to rise after every fall" Target=770 http://challengemba.blogspot.com Kudos??



BSchool Forum Moderator
Joined: 23 Jul 2010
Posts: 558
GPA: 3.4
WE: General Management (NonProfit and Government)

Re: I'm missing something basic here, but no idea what [#permalink]
Show Tags
10 Oct 2013, 13:24
AtifS wrote: Answer: B Explanation: \(\frac{{2^{(41)^2}}}{{2^{(31)}}} = \frac{{2^{3^2}}}{{2^2}} = \frac{{2^9}}{{2^2}} = 2^{(92)} = 2^7\)
Remember that \(2^{3^2}\) is not same to \((2^3)^2\) because the formulas are \(2^{x^y}\) and \((2^x)^y = 2^{xy}\)are different from each other and if we solve \(2^{3^2}\) we get \(2^9\) (here solve from top to down) and by solving \((2^3)^2\)we get \(2^6=64\) or \(8^2=64\)
Please! check your Official Answer because the answer can't be \(2^8\) by solving with the forum timer, I got it wrong as it says that OA is A, which according to rule can't be (just explained above). Hi, The question given by original poster was incorrect; it has been edited and corrected. Thanks.
_________________
How to select your BSchool? General Mistakes to Avoid on the GMAT TOP 10 articles on Time Management on the GMAT Thanks = Kudos. Kudos are appreciated
Rules for posting on the verbal forum



Math Expert
Joined: 02 Sep 2009
Posts: 39589

Re: 2^(41)^2/2^(32) [#permalink]
Show Tags
22 Oct 2013, 05:16



Intern
Joined: 20 Nov 2013
Posts: 30

Re: 2^(41)^2/2^(32) [#permalink]
Show Tags
05 Feb 2014, 01:31
I think this question is testing that you know PEMDAS. If you follow that you will get the right answer ..



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: 2^(41)^2/2^(32) [#permalink]
Show Tags
18 Feb 2014, 02:26
Imp math rule; Please read below:
Attachments
math.jpg [ 13.78 KiB  Viewed 2962 times ]
_________________
Kindly press "+1 Kudos" to appreciate



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15918

Re: 2^(41)^2/2^(32) [#permalink]
Show Tags
13 Jan 2016, 10:21
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: 2^(41)^2/2^(32)
[#permalink]
13 Jan 2016, 10:21







