NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 22:29 It is currently 23 Apr 2024, 22:29
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

17^3 + 17^4 =

SORT BY:
Date
Kudos
Tags:
Difficulty: Sub 505 Levelx   Arithmeticx   Exponents/Powersx                     
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618640 [36]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
17^3 + 17^4 = [#permalink] New post   21 Feb 2014, 01:06
6
Kudos
29
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

88% (00:30) correct 12% (00:46) wrong based on 1833 sessions
Hide Show timer Statistics
17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29896 [4]
Given Kudos: 799
Location: Canada
Send PM
17^3 + 17^4 = [#permalink] New post   Updated on: 25 Oct 2021, 17:31
3
Kudos
1
Bookmarks
Expert Reply
Top Contributor
Quote:
17^3 + 17^4 =

(A) 17^7
(B) 17^3 x 18
(C) 17^6 x 18
(D) 2 x 17^3 + 17
(E) 2 x 17^3 - 17



APPROACH #1:
Take: \(17^3 + 17^4\)

Factor: \(17^3(1+17)\)

Evaluate: \((17^3)(18)\)

Answer: B



APPROACH #2 (for "fun")
\(17^3 + 17^4 = 17^4(17^{-1} + 1) \)

\(= 17^4(\frac{1}{17} + 1)\)

\(= 17^4(\frac{1}{17} + \frac{17}{17})\)

\(= 17^4(\frac{18}{17})\)

\(= \frac{(17^4)(18)}{17})\)

\(= (17^3)(18)\)

Answer: B

Originally posted by BrentGMATPrepNow on 02 Dec 2016, 14:38.
Last edited by BrentGMATPrepNow on 25 Oct 2021, 17:31, edited 2 times in total.
General Discussion
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618640 [3]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: 17^3 + 17^4 = [#permalink] New post   21 Feb 2014, 01:06
2
Kudos
1
Bookmarks
Expert Reply
SOLUTION

17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17

\(17^3 + 17^4 =17^3(1+17)=17^3*18\).

Answer: B.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618640 [1]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: 17^3 + 17^4 = [#permalink] New post   21 Feb 2018, 07:02
1
Kudos
Expert Reply
dave13 wrote:
Bunuel wrote:
SOLUTION

17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17

\(17^3 + 17^4 =17^3(1+17)=17^3*18\).

Answer: B.


Hi Bunuel, how do you call this rule when from this \(17^3 + 17^4\) you get this \(17^3(1+17)\) ? please explain in two or three words :)


We are factoring out common term 17^3 from 17^3 + 17*17^3 to get 17^3(1+17).
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29896 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   17 Jun 2019, 13:01
1
Kudos
Expert Reply
Top Contributor
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(17^3 + 17^4\) =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17


\(17^3 + 17^4\) has the same format as \(x^3 + x^4\), which we can factor as follows: \(x^3(1 + x)\)
The same applies to the given expression.
\(17^3 + 17^4=17^3(1 + 17)\)
\(=(17^3)(18)\)

Answer: B

Cheers,
Brent
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: 17^3 + 17^4 = [#permalink] New post   11 Dec 2017, 09:50
Bunuel wrote:

17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17

\(17^3 + 17^4\)

Or, \(17^3( 1 + 17)\)

Or, \(17^3*18\), thus answer will be (B)
avatar
B
GMATINSECT
Manager
Manager
Joined: 17 Jun 2017
Posts: 57
Own Kudos [?]: 44 [0]
Given Kudos: 56
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   25 Jan 2018, 02:53
WRT Question
17^3+17^4
= 17^3(common) [1+17]
=17^3*18
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6271 [0]
Given Kudos: 1646
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   29 Jan 2018, 10:38
Expert Reply
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17


17^3 + 17^4 = 17^3(1 + 17) = 17^3 x 18

Answer: B
User avatar
L
dave13
VP
VP
Joined: 09 Mar 2016
Posts: 1160
Own Kudos [?]: 1017 [0]
Given Kudos: 3851
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   21 Feb 2018, 06:45
Bunuel wrote:
SOLUTION

17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17

\(17^3 + 17^4 =17^3(1+17)=17^3*18\).

Answer: B.


Hi Bunuel, how do you call this rule when from this \(17^3 + 17^4\) you get this \(17^3(1+17)\) ? please explain in two or three words :)
User avatar
L
Mo2men
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2462
Own Kudos [?]: 1360 [0]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Send PM
Reviews Badge
Re: 17^3 + 17^4 = [#permalink] New post   22 Feb 2018, 03:27
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17


17^3 + 17^4 = 17^3 (1+ 17) = 17^3 (18)

Answer: B
User avatar
L
AkshdeepS
VP
VP
Joined: 13 Apr 2013
Status:It's near - I can see.
Posts: 1479
Own Kudos [?]: 1600 [0]
Given Kudos: 1002
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Send PM
Reviews Badge
Re: 17^3 + 17^4 = [#permalink] New post   21 Mar 2018, 02:57
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

17^3 + 17^4 =

(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17

Problem Solving
Question: 108
Category: Arithmetic Exponents
Page: 75
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


17^3 + 17^4

Or, 17^3(1 + 17)

17^3 * 18

(B)
avatar
B
meganmcl1
Intern
Intern
Joined: 17 Jun 2021
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Location: United States
Schools: Goizueta '24 Ross '24 Sloan '24 Wharton '24
GMAT 1: 600 Q36 V36
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   17 Jul 2021, 16:55
Can someone please explain why the answer still cannot be A?
User avatar
G
andreagonzalez2k
Manager
Manager
Joined: 15 Feb 2021
Posts: 187
Own Kudos [?]: 220 [0]
Given Kudos: 13
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   17 Jul 2021, 17:09
meganmcl1 wrote:
Can someone please explain why the answer still cannot be A?


When you multiply powers with the same base you add the exponents. When you add powers with the same base you can only take common factor.
avatar
B
meganmcl1
Intern
Intern
Joined: 17 Jun 2021
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Location: United States
Schools: Goizueta '24 Ross '24 Sloan '24 Wharton '24
GMAT 1: 600 Q36 V36
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   19 Jul 2021, 19:19
andreagonzalez2k
Thank you so much!
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16592 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   20 Jul 2021, 05:59
Expert Reply
\(17^3 + 17^4 = 17^3(1 + 17) = 17^3(18)\)

Answer B
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32636
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: 17^3 + 17^4 = [#permalink] New post   20 Mar 2024, 14:11
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 Club Bot
gmatclubot
Re: 17^3 + 17^4 = [#permalink]
20 Mar 2024, 14:11
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

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