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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, 00:06
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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


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17^3 + 17^4 =  [#permalink]

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New post Updated on: 27 May 2020, 11:55
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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



APPROACH #1:
Take: \(17^3 + 17^4\)
Factor: \(17^3(1+17)\)
Evaluate: \(17^3 \times 18 \)
Answer: B



APPROACH #2 (for fun)
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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Originally posted by BrentGMATPrepNow on 02 Dec 2016, 13:38.
Last edited by BrentGMATPrepNow on 27 May 2020, 11:55, edited 1 time in total.
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Re: 17^3 + 17^4 =  [#permalink]

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New post 21 Feb 2014, 00:06
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Re: 17^3 + 17^4 =  [#permalink]

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New post 11 Dec 2017, 08:50
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, 01:53
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, 09:38
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, 05:45
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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Re: 17^3 + 17^4 =  [#permalink]

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New post 22 Feb 2018, 02:27
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, 01:57
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 =  [#permalink]

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New post 17 Jun 2019, 12:01
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
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Re: 17^3 + 17^4 =   [#permalink] 17 Jun 2019, 12:01

17^3 + 17^4 =

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