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12^50 or 6^100
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24 Nov 2021, 06:34
24 Nov 2021, 06:34
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92% (00:50) correct
7% (00:50) wrong based on 54 sessions
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This question is part of the GRE - Skill Builder Project for a Q170
Quantity A |
Quantity B |
\(12^{50}\) |
\(6^{100}\) |
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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12^50 or 6^100
[#permalink]
24 Nov 2021, 06:47
24 Nov 2021, 06:47
1
Carcass wrote:
This question is part of the GRE - Skill Builder Project for a Q170
Quantity A |
Quantity B |
\(12^{50}\) |
\(6^{100}\) |
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.
Useful property: \((xy)^n = (x^n)(y^n)\)
Since \(12 = (2)(6)\), we can rewrite Quantity A as follows:
QUANTITY A: \(12^{50}= [(2)(6)]^{50} = (2^{50})(6^{50})\)
QUANTITY B: \(6^{100}\)
From here, we can divide both quantities by \(6^{50}\) to get:
QUANTITY A: \(2^{50}\)
QUANTITY B: \(6^{50}\)
Since it's clear that \(6^{50} > 2^{50}\), the correct answer is B
gmatclubot
12^50 or 6^100 [#permalink]
24 Nov 2021, 06:47
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