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# 17^3 + 17^4 =

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Math Expert
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135268 [0], given: 12679

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21 Feb 2014, 01:06
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Difficulty:

5% (low)

Question Stats:

87% (00:21) correct 13% (00:37) wrong based on 548 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

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Kudos [?]: 135268 [0], given: 12679

Math Expert
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135268 [0], given: 12679

Re: 17^3 + 17^4 = [#permalink]

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21 Feb 2014, 01:06
Expert's post
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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

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

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Re: 17^3 + 17^4 = [#permalink]

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02 Dec 2016, 14:38
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Top Contributor
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

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Re: 17^3 + 17^4 = [#permalink]

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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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Kudos [?]: 1142 [0], given: 327

Re: 17^3 + 17^4 =   [#permalink] 11 Dec 2017, 09:50
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