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Which is greater 0 or (-1)^137

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Carcass
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Which is greater 0 or (-1)^137 [#permalink] New post   21 Mar 2019, 11:04
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Question Stats:

91% (00:04) correct 8% (00:00) wrong based on 12 sessions

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Quantity A
Quantity B
\(0\)
\((-1)^{137}\)


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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Official Answer
A
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GreenlightTestPrep
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Re: Which is greater 0 or (-1)^137 [#permalink] New post   21 Mar 2019, 11:21
Carcass wrote:
Quantity A
Quantity B
\(0\)
\((-1)^{137}\)


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


Two important rules:

ODD exponents preserve the sign of the base.
So, (NEGATIVE)^(ODD integer) = NEGATIVE
and (POSITIVE)^(ODD integer) = POSITIVE

An EVEN exponent always yields a positive result (unless the base = 0)
So, (NEGATIVE)^(EVEN integer) = POSITIVE
and (POSITIVE)^(EVEN integer) = POSITIVE

Quantity B = (-1)^137 = (NEGATIVE)^(ODD integer) = NEGATIVE

We get:
QUANTITY A: 0
QUANTITY B: some NEGATIVE value (BTW, it's -1)

Answer: A

Cheers,
Brent
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Carcass
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Re: Which is greater 0 or (-1)^137 [#permalink] New post   21 Mar 2019, 11:35
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I still see people start to calculate or manipulate something.

Indeed, a 3 seconds question to solve out.

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gmatclubot
Re: Which is greater 0 or (-1)^137 [#permalink]
21 Mar 2019, 11:35
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