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Which of the following options is closest to (310)(3310)? A. 1010

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Which of the following options is closest to (310)(3310)? A. 1010 [#permalink]

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New post 13 Sep 2017, 00:19
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[GMAT math practice question]

Which of the following options is closest to \((3^{10})(33^{10})\)?

A. \(10^{10}\)
B. \(10^{14}\)
C. \(10^{18}\)
D. \(10^{20}\)
E. \(10^{22}\)
[Reveal] Spoiler: OA

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Which of the following options is closest to (310)(3310)? A. 1010 [#permalink]

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MathRevolution wrote:
[GMAT math practice question]

Which of the following options is closest to \((3^{10})(33^{10})\)?

A. \(10^{10}\)
B. \(10^{14}\)
C. \(10^{18}\)
D. \(10^{20}\)
E. \(10^{22}\)


\(3^{10} * 33^{10} = (3*33)^{10} = 99^{10} \approx 100^{10} = (10^2)^{10}=10^{20}\)

Answer D
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Re: Which of the following options is closest to (310)(3310)? A. 1010 [#permalink]

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New post 13 Sep 2017, 05:55
3^10*33^10=3^20*11^10
9^10*11^10=10^20 approximately
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Re: Which of the following options is closest to (310)(3310)? A. 1010 [#permalink]

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New post 15 Sep 2017, 02:02
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=>
\((3^{10})(33^{10}) = (3^{10})(3*11)^{10} = (3^{10})(3^{10})(11^{10})= (9^{10})(11^{10}) ~ (10^{10})(10^{10}) = 10^{20}\)

Ans: D
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Re: Which of the following options is closest to (310)(3310)? A. 1010   [#permalink] 15 Sep 2017, 02:02
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Which of the following options is closest to (310)(3310)? A. 1010

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