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33 × 96 × 24 × 42
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22 Feb 2023, 03:36
22 Feb 2023, 03:36
1
Expert Reply
00:00
Question Stats:
88% (01:33) correct
11% (01:01) wrong based on 44 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.
33 × 96 × 24 × 42
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18 Mar 2023, 03:33
18 Mar 2023, 03:33
1
Expert Reply
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
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
Re: 33 × 96 × 24 × 42
[#permalink]
12 Aug 2024, 08:16
12 Aug 2024, 08:16
1
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
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
