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25^(46)-125^(30)
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07 Sep 2021, 22:56
07 Sep 2021, 22:56
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Question Stats:
83% (01:51) correct
16% (00:26) wrong based on 12 sessions
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Quantity A |
Quantity B |
\(25^{46}-125^{30}\) |
62500 |
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
25^(46)-125^(30)
[#permalink]
08 Sep 2021, 07:49
08 Sep 2021, 07:49
1
\(25^{46} - 125^{30} = (5^2)^{46} - (5^3)^{30} = 5^{92}-5^{90}\)
\(= 5^{90} (25-1) = 5^{90} * 24\) which will be anyway greater than \(62500(5^6 *4)\)
So Quantity A is greater : answer A
\(= 5^{90} (25-1) = 5^{90} * 24\) which will be anyway greater than \(62500(5^6 *4)\)
So Quantity A is greater : answer A
gmatclubot
25^(46)-125^(30) [#permalink]
08 Sep 2021, 07:49
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