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(-2)^16 or 8^5
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18 Mar 2021, 02:54
18 Mar 2021, 02:54
Expert Reply
00:00
Question Stats:
92% (00:22) correct
7% (00:41) wrong based on 40 sessions
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Quantity A |
Quantity B |
\([-2]^{16}\) |
\(8^5\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: (-2)^16 or 8^5
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18 Mar 2021, 06:45
18 Mar 2021, 06:45
Carcass wrote:
Quantity A |
Quantity B |
\([-2]^{16}\) |
\(8^5\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Col. A: \([-2]^{16}\)
Col. B: \(8^5\)
Col. A: \([-1]^{16}[2]^{16}\)
Col. B: \([2^3]^5\)
Col. A: \([2]^{16}\)
Col. B: \([2]^{15}\)
Hence, option A
(-2)^16 or 8^5
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24 Mar 2021, 04:41
24 Mar 2021, 04:41
Theres only one important concept into play here. Any negative number raised to an even power is always positive.
Apart from that, \(2^16\) > \((2^3)^5\)
Hence Option A is correct
Apart from that, \(2^16\) > \((2^3)^5\)
Hence Option A is correct
