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(2^3)^4 or 2^(3^4)
[#permalink]
14 Mar 2022, 02:00
14 Mar 2022, 02:00
Expert Reply
00:00
Question Stats:
84% (00:14) correct
15% (00:18) wrong based on 13 sessions
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Quantity A |
Quantity B |
\((2^3)^4 \) |
\(2^{(3^4)}\) |
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: (2^3)^4 or 2^(3^4)
[#permalink]
14 Mar 2022, 07:33
14 Mar 2022, 07:33
1
Carcass wrote:
Quantity A |
Quantity B |
\((2^3)^4 \) |
\(2^{(3^4)}\) |
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
Applying the Power of a Power Law, Quantity A \( = (2^3)^4 = 2^{(3)(4)} = 2^{12}\)
When we first evaluate the part in brackets, Quantity B \( = 2^{(3^4)} = 2^{81}\)[/m]
Since \(2^{81} > 2^{12}\), the correct answer is B
gmatclubot
Re: (2^3)^4 or 2^(3^4) [#permalink]
14 Mar 2022, 07:33
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