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Which of the following is equal to

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Which of the following is equal to [#permalink] New post 25 Feb 2017, 09:22
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Question Stats:

87% (00:26) correct 12% (00:15) wrong based on 16 sessions


Which of the following is equal to \(\frac{6^{14}}{2^5 * 3^7}\) ?

A) \(2^2*3^2\)

B) \(2^7*3^7\)

C) \(2^9*3^2\)

D) \(2^9*3^7\)

E) \(2^9*3^9\)
[Reveal] Spoiler: OA

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Re: Which of the following is equal to [#permalink] New post 04 Mar 2017, 17:45
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Explanation

The numerator, \(6^1^4\), can be factored, and then the properties of exponents can be applied:

\(\frac{6^1^4}{2^5 \times 3^7}= \frac{2^1^4 \times 3^1^4}{2^5 \times 3^7} = 2^9 \times 3^7\).

Hence option D is correct.
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Re: Which of the following is equal to   [#permalink] 04 Mar 2017, 17:45
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