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21 Feb 2014, 01:06
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B
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Difficulty:
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Question Stats:
88% (00:30) correct
12%
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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
(A) 17^7
(B) 17^3*18
(C) 17^6*18
(D) 2*17^3 + 17
(E) 2*17^3 - 17
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Updated on: 25 Oct 2021, 17:31
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.
Last edited by BrentGMATPrepNow on 25 Oct 2021, 17:31, edited 2 times in total.
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Quote:
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
General Discussion
21 Feb 2014, 01:06
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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
\(17^3 + 17^4 =17^3(1+17)=17^3*18\).
Answer: B.
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.
