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What is the value of (-1)^{g^4 + g - 1} ? 1. g is an integer

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Manager
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What is the value of (-1)^{g^4 + g - 1} ? 1. g is an integer [#permalink] New post 17 Jan 2008, 23:34
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What is the value of (-1)^{g^4 + g - 1} ?

1. g is an integer
2. g is even

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

i just get 2 is sufficient, OA is D. i keep seeing that pending it being even or odd, the result will be either -1 or 1. details would be nice =D.
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Re: walker.... exponent question [#permalink] New post 17 Jan 2008, 23:41
Expert's post
:)

D

\((-1)^{odd}=-1\)
\((-1)^{even}=1\)

1. \((-1)^{g^4 + g - 1}\)

a \(odd^4 + odd - 1 = odd\)
b \(even^4 + even - 1 = odd\)
SUFF.

2. \((-1)^{g^4 + g - 1}\)
\(even^4 + even - 1 = odd\)
SUFF.
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Re: walker.... exponent question [#permalink] New post 18 Jan 2008, 00:07
+1... question though: doesn't odd^4 = 4*odd (and hence, even) since it's an exponent raised to an exponent?
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Re: walker.... exponent question [#permalink] New post 18 Jan 2008, 00:23
Expert's post
dominion wrote:
+1... question though: doesn't odd^4 = 4*odd (and hence, even) since it's an exponent raised to an exponent?


\(1^4=1*1*1*1=1 (odd)\)
\(4*1=4 (even)\)
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Re: walker.... exponent question [#permalink] New post 18 Jan 2008, 06:52
the function is equal to -1 for any integer. Therefore, either of those statements is sufficient.
Re: walker.... exponent question   [#permalink] 18 Jan 2008, 06:52
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What is the value of (-1)^{g^4 + g - 1} ? 1. g is an integer

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