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17^3 + 17^4 =
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27 May 2020, 10:23
27 May 2020, 10:23
Expert Reply
00:00
Question Stats:
93% (00:13) correct
6% (01:16) wrong based on 32 sessions
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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) \(2*17^3 - 17\)
Re: 17^3 + 17^4 =
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27 May 2020, 10:24
27 May 2020, 10:24
Expert Reply
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17^3 + 17^4 =
[#permalink]
27 May 2020, 13:35
27 May 2020, 13:35
1
Carcass wrote:
\(17^3 + 17^4 =\)
(A) \(17^7\)
(B) \(17^3*18\)
(C) \(17^6*18\)
(D) \(2*17^3 + 17\)
(E) \(2*17^3 - 17\)
(A) \(17^7\)
(B) \(17^3*18\)
(C) \(17^6*18\)
(D) \(2*17^3 + 17\)
(E) \(2*17^3 - 17\)
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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