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17^3 + 17^4 =

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17^3 + 17^4 =  [#permalink]

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New post 21 Feb 2014, 01:06
3
10
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A
B
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D
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Difficulty:

  5% (low)

Question Stats:

85% (00:30) correct 15% (00:48) wrong based on 908 sessions

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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

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Re: 17^3 + 17^4 =  [#permalink]

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New post 21 Feb 2014, 01:06
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Re: 17^3 + 17^4 =  [#permalink]

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New post 02 Dec 2016, 14:38
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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


Bunuel's solution is great.
Just for kicks though, I thought I'd show that we can factor 17^3 + 17^4 a different way and STILL arrive at the correct answer.

17^3 + 17^4 = 17^4[17^(-1) + 1]
= 17^4(1/17 + 1)
= 17^4(1/17 + 17/17)
= 17^4(18/17)
= 17^3 x 18

Answer: B
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Re: 17^3 + 17^4 =  [#permalink]

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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)
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Re: 17^3 + 17^4 =  [#permalink]

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New post 25 Jan 2018, 02:53
WRT Question
17^3+17^4
= 17^3(common) [1+17]
=17^3*18
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Re: 17^3 + 17^4 =  [#permalink]

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New post 29 Jan 2018, 10:38
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
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Re: 17^3 + 17^4 =  [#permalink]

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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 :)
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Re: 17^3 + 17^4 =  [#permalink]

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New post 21 Feb 2018, 07:02
1
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).
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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.


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Re: 17^3 + 17^4 =  [#permalink]

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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
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Re: 17^3 + 17^4 =  [#permalink]

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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)
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Re: 17^3 + 17^4 = &nbs [#permalink] 21 Mar 2018, 02:57
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