Last visit was: 17 Jun 2024, 01:25 It is currently 17 Jun 2024, 01:25
Toolkit
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.
Request Expert Reply

# 17^3 + 17^4 =

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93702
Own Kudos [?]: 632385 [38]
Given Kudos: 82322
Most Helpful Reply
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [5]
Given Kudos: 799
Location: Canada
General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 93702
Own Kudos [?]: 632385 [3]
Given Kudos: 82322
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6064
Own Kudos [?]: 4744 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Re: 17^3 + 17^4 = [#permalink]
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)
Manager
Joined: 17 Jun 2017
Posts: 57
Own Kudos [?]: 47 [0]
Given Kudos: 56
Re: 17^3 + 17^4 = [#permalink]
WRT Question
17^3+17^4
= 17^3(common) [1+17]
=17^3*18
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3042
Own Kudos [?]: 6458 [0]
Given Kudos: 1646
Re: 17^3 + 17^4 = [#permalink]
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
VP
Joined: 09 Mar 2016
Posts: 1148
Own Kudos [?]: 1022 [0]
Given Kudos: 3851
Re: 17^3 + 17^4 = [#permalink]
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
Math Expert
Joined: 02 Sep 2009
Posts: 93702
Own Kudos [?]: 632385 [1]
Given Kudos: 82322
Re: 17^3 + 17^4 = [#permalink]
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).
SVP
Joined: 26 Mar 2013
Posts: 2460
Own Kudos [?]: 1366 [0]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Re: 17^3 + 17^4 = [#permalink]
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
VP
Joined: 13 Apr 2013
Status:It's near - I can see.
Posts: 1475
Own Kudos [?]: 1632 [0]
Given Kudos: 1002
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Re: 17^3 + 17^4 = [#permalink]
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)
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [1]
Given Kudos: 799
Location: Canada
Re: 17^3 + 17^4 = [#permalink]
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
Intern
Joined: 17 Jun 2021
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Location: United States
GMAT 1: 600 Q36 V36
Re: 17^3 + 17^4 = [#permalink]
Can someone please explain why the answer still cannot be A?
Manager
Joined: 15 Feb 2021
Posts: 131
Own Kudos [?]: 223 [0]
Given Kudos: 13
Re: 17^3 + 17^4 = [#permalink]
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.
Intern
Joined: 17 Jun 2021
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Location: United States
GMAT 1: 600 Q36 V36
Re: 17^3 + 17^4 = [#permalink]
andreagonzalez2k
Thank you so much!
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10147
Own Kudos [?]: 16845 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: 17^3 + 17^4 = [#permalink]
Expert Reply
$$17^3 + 17^4 = 17^3(1 + 17) = 17^3(18)$$

Answer B
Non-Human User
Joined: 09 Sep 2013
Posts: 33616
Own Kudos [?]: 838 [0]
Given Kudos: 0
Re: 17^3 + 17^4 = [#permalink]
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.
Re: 17^3 + 17^4 = [#permalink]
Moderator:
Math Expert
93696 posts