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26 Aug 2018, 06:31
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B
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Difficulty:
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Question Stats:
80% (01:17) correct
20%
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If \(5^{k + 1} = 2,000\), what is the value of \(5^k + 1\)?
(A) 399
(B) 401
(C) 1,996
(D) 2,000
(E) 2,001
(A) 399
(B) 401
(C) 1,996
(D) 2,000
(E) 2,001
26 Aug 2018, 06:36
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B?
\(5^k\).5 = \(2^4\).\(5^3\)
\(5^k\)= \(2^4\).\(5^2\) = 16 * 25 = 400
\(5^k\) + 1 = 400 + 1 = 401
\(5^k\).5 = \(2^4\).\(5^3\)
\(5^k\)= \(2^4\).\(5^2\) = 16 * 25 = 400
\(5^k\) + 1 = 400 + 1 = 401
26 Aug 2018, 07:48
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Bunuel
If \(5^{k + 1} = 2,000\), what is the value of \(5^k + 1\)?
(A) 399
(B) 401
(C) 1,996
(D) 2,000
(E) 2,001
(A) 399
(B) 401
(C) 1,996
(D) 2,000
(E) 2,001
\(5^k*5 = 2^4*5^3\)
So, \(5^k = 2^4*5^2\)
Or, \(5^k = 400\)
So, \(5^k + 1 = 401\) , Answer must be (B)
