It is currently 21 Oct 2017, 05:32

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x and y are integers, and x ≠ 0, what is the value of x^y?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 129093 [1], given: 12194

If x and y are integers, and x ≠ 0, what is the value of x^y? [#permalink]

Show Tags

New post 02 Jun 2015, 07:03
1
This post received
KUDOS
Expert's post
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

76% (01:40) correct 24% (02:09) wrong based on 193 sessions

HideShow timer Statistics

Kudos [?]: 129093 [1], given: 12194

Expert Post
3 KUDOS received
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1836

Kudos [?]: 2279 [3], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If x and y are integers, and x ≠ 0, what is the value of x^y? [#permalink]

Show Tags

New post 02 Jun 2015, 07:13
3
This post received
KUDOS
Expert's post
Bunuel wrote:
If x and y are integers, and x ≠ 0, what is the value of x^y?

(1) |x| = 2
(2) 64^x*6^(2x + y) = 48^(2x)


Question : what is the value of x^y?

Statement 1: |x| = 2

i.e. x = +2
but the value of y is unknown in absence of which the value of x^y is indeterminable
Hence NOT SUFFICIENT

Statement 2: 64^x*6^(2x + y) = 48^(2x)

i.e. 2^(6x) * 2^(2x+y) * 3^ (2x+y) = 2^(8x) * 3^(2x)
i.e. 2^(8x+y) * 3^ (2x+y) = 2^(8x) * 3^(2x)
Comparing the powers
i.e. (8x+y) = 8x and (2x+y) = 2x
i.e. y=0
Therefore for any value of x, the value of x^y is always 1 [Because, x^0 = 1]
Hence SUFFICIENT

Answer: Option
[Reveal] Spoiler:
B

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2279 [3], given: 51

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 129093 [2], given: 12194

Re: If x and y are integers, and x ≠ 0, what is the value of x^y? [#permalink]

Show Tags

New post 08 Jun 2015, 03:34
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
Bunuel wrote:
If x and y are integers, and x ≠ 0, what is the value of x^y?

(1) |x| = 2
(2) 64^x*6^(2x + y) = 48^(2x)


MANHATTAN GMAT OFFICIAL SOLUTION:

Since x ≠ 0, we know that xy does not equal 0y or 0. To determine the exact non-zero value of xy, we need either the values of both x and y, or if y is even, the values of |x| and y (an even exponent “hides the sign” of the base, so we wouldn't need to know x's sign).

(1) INSUFFICIENT: This statement tells us that x is equal to 2 or –2. However, we know nothing about y and cannot determine the value of xy.

(2) SUFFICIENT: Simplify using exponent rules, noting the common factors of 6 and 8 on each side of the equation:

\(64^x*6^{2x + y} = 48^{2x}\)

\((8^2)^x *6^{2x + y} = (6*8)^{2x}\)

\(8^{2x}* (6^{2x}*6^y) = 6^{2x}*8^{2x}\)

\(6^y = 1\)

\(y = 0\)

Since y = 0 and x ≠ 0 (as stated in the question stem), this information is sufficient to conclude that \(x^y = x^0 = 1\).

The correct answer is B.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 129093 [2], given: 12194

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16609

Kudos [?]: 273 [0], given: 0

Premium Member
Re: If x and y are integers, and x ≠ 0, what is the value of x^y? [#permalink]

Show Tags

New post 04 Oct 2016, 21:52
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

Kudos [?]: 273 [0], given: 0

Director
Director
User avatar
G
Joined: 26 Oct 2016
Posts: 694

Kudos [?]: 180 [0], given: 855

Location: United States
Concentration: Marketing, International Business
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Re: If x and y are integers, and x ≠ 0, what is the value of x^y? [#permalink]

Show Tags

New post 13 Mar 2017, 04:17
If x and y are integers, and x ≠ 0, what is the value of x^y?
(1) |x| = 2

(2) 64^x6^(2x + y) = 48^2x
_________________

Thanks & Regards,
Anaira Mitch

Kudos [?]: 180 [0], given: 855

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 129093 [0], given: 12194

Re: If x and y are integers, and x ≠ 0, what is the value of x^y? [#permalink]

Show Tags

New post 13 Mar 2017, 04:33

Kudos [?]: 129093 [0], given: 12194

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 784

Kudos [?]: 35 [0], given: 164

Re: If x and y are integers, and x ≠ 0, what is the value of x^y? [#permalink]

Show Tags

New post 25 Sep 2017, 18:27
Bunuel wrote:
If x and y are integers, and x ≠ 0, what is the value of \(x^y\)?

(1) |x| = 2

(2) \(64^x*6^{(2x + y)} = 48^{(2x)}\)


St 1

Too many possibilities...and no info about y

insuff

St 2

2^6x * 6^2x+y= 2^6x * 6^2x

2^6x * 6^2x+y=2^6x * 6^2x

6^(2x+y)= 6^(2x)
2x +y =2x
y= 0

This just basically tells us that x^y will always be 1 since x cannot be 0

B

Kudos [?]: 35 [0], given: 164

Re: If x and y are integers, and x ≠ 0, what is the value of x^y?   [#permalink] 25 Sep 2017, 18:27
Display posts from previous: Sort by

If x and y are integers, and x ≠ 0, what is the value of x^y?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.