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33 × 96 × 24 × 42

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Carcass
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33 × 96 × 24 × 42 [#permalink] New post   22 Feb 2023, 03:36
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Question Stats:

91% (01:33) correct 8% (01:03) wrong based on 36 sessions

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Quantity A
Quantity B
\( 3^3 × 9^6 × 2^4 × 4^2\)
\(9^3 × 3^6 × 2^2 × 4^4\)




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Carcass
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33 × 96 × 24 × 42 [#permalink] New post   18 Mar 2023, 03:33
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The easiest way to deal with the question is to simplify the stems

QA is \(3^3*3^{12}*2^4*2^4\)

QB is \(3^6*3^6*2^2*2^4
\)

QA is \(3^{15}*2^8\)

QB is \(3^{12}*2^6\)

A is bigger
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Re: 33 × 96 × 24 × 42 [#permalink] New post   12 Aug 2024, 08:16
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Carcass wrote:
The easiest way to deal with the question is to simplify the stems

QA is \(3^3*3^{12}*2^4*2^4\)

QB is \(3^6*3^6*2^2*2^4
\)

QA is \(3^{15}*2^8\)

QB is \(3^{12}*2^6\)

A is bigger


QB is 3^12*2^10 as 4^4=(2^2)^4= 2^8 and this added to 2^2 gives 2^10
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gmatclubot
Re: 33 × 96 × 24 × 42 [#permalink]
12 Aug 2024, 08:16
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