GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 15 Aug 2022, 17:23
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
If a and b are nonzero integers and a^(3b) = a^(b-6), what is the valu
4 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 86608
CAT Tests Top Member of the Month
If a and b are nonzero integers and a^(3b) = a^(b-6), what is the valu [#permalink] New post  03 Jun 2018, 10:17
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

73% (01:18) correct 27% (01:24) wrong based on 114 sessions

Hide Show timer Statistics

If a and b are nonzero integers and \(a^{3b} = a^{b-6}\), what is the value of \(b^{a}\)?


(1) \(a^3 = 8\)

(2) \(a^2 = 4\)
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
B
DinkarDK
Intern
Intern
Joined: 11 Sep 2017
Posts: 43
GMAT 1: 600 Q42 V31
Reviews Badge
Re: If a and b are nonzero integers and a^(3b) = a^(b-6), what is the valu [#permalink] New post  03 Jun 2018, 10:22
1
Kudos
3b = b - 6
So, b = -2
We got value of b.
Now from
Statement 1.
We can get value of a = 2
So b ^a can be known - Sufficient

Statement 2.
Value of a =+2 or -2
Hence Not sufficient.

Option A is answer.
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3759
If a and b are nonzero integers and a^(3b) = a^(b-6), what is the valu [#permalink] New post  04 Jun 2018, 01:51
Expert Reply

Solution



Given:
    • Integers a and b are non-zero
    • Also, \(a^3b = a^{b-6}\)

To find:
    • The value of \(b^a\)

Approach and Working:
    • From the given expression \(a^3b = a^{b-6}\), as a is non-zero, we can write
      o 3b = b – 6
      Or, 2b = -6
      Or, b = -3

Hence, if we can find out the value of a, we can compute the value of \(b^a\)

Analysing Statement 1
    • As per the information given is statement 1, \(a^3 = 8\)
      o From this, we can write, a = 2

Hence, statement 1 is sufficient to answer

Analysing Statement 2
    • As per the information given is statement 2, \(a^2 = 4\)
      o From this, we can write a = 2 or a = -2
    • From this statement, we cannot find out the specific value of a


Hence, statement 2 is not sufficient to answer

Hence, the correct answer is option A.

Answer: A


Solve the Question of the Week: eGMAT Question of the Week
_________________
Free Trial: Get 25 AI powered videos | 400 practice questions | 8 free webinars

Case studies: How a personalized study plan can save you 60+ hours

MBA admits: M7 admits | INSEAD admits | ISB admits [40+ case studies]

Image
Learn why e-GMAT has 10X more 700+ verified scores than other GMATClub partners – Read our 2000+ reviews
Signature Read More
avatar
D
KSBGC
VP
VP
Joined: 31 Oct 2013
Posts: 1320
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
If a and b are nonzero integers and a^(3b) = a^(b-6), what is the valu [#permalink] New post  05 Jun 2018, 05:13
Bunuel wrote:
If a and b are nonzero integers and \(a^{3b} = a^{b-6}\), what is the value of \(b^{a}\)?


(1) \(a^3 = 8\)

(2) \(a^2 = 4\)


we are asked to fin out the value of \(b^a\)

Note:
1. a and b are integers
2. a and b are nonzero.

we are given:

\(a^{3b}\)=\(a^{b-6}\)

3b=b-6
b=-3

statement 1: \(a^3\)=8
\(a^3\)=\(2^3\)
a=2

ultimate we have the value of both a and b
thus statement 1 is sufficient.

statement 2:\(a^2\)=4
a=+2 or -2

2 different values will give us 2 different answers.
thus statement 2 is not sufficient.

A is the best answer.
GMAT Club Bot
gmatclubot
If a and b are nonzero integers and a^(3b) = a^(b-6), what is the valu [#permalink]
05 Jun 2018, 05:13
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10483 posts
Bunuel
Math Expert
86608 posts
nick1816
DS Forum Moderator
1938 posts

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions