If m=−2, what is −m^−m? : GMAT Problem Solving (PS)
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# If m=−2, what is −m^−m?

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Manager
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If m=−2, what is −m^−m? [#permalink]

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19 Dec 2012, 22:27
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Difficulty:

55% (hard)

Question Stats:

33% (01:32) correct 67% (00:19) wrong based on 105 sessions

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If m=−2, what is −m^−m?

A. −16
B. −4
C. −1/4
D. 1/4
E. 4

Source HULT
[Reveal] Spoiler: OA
Manager
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Kudos [?]: 32 [0], given: 57

Re: If m=−2, what is [#permalink]

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19 Dec 2012, 22:29
I thought this to be a poor quality question because they did not mention either - m^-m or (-m)^-m..... i took it for the second one and flipped the sign... Am I being wrong in understanding GMAT presentation?
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Re: If m=−2, what is [#permalink]

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19 Dec 2012, 22:31
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Amateur wrote:
If m=−2, what is −m^−m?
−16

−4

−1/4

1/4

4

SOurce HULT

This is a pretty simple one that can be solved by substitution. But take it step by step and simplify. But the confusion in the questions is whether the - sign in the base is with 2 or outside. In the absence of bracket, we'll take it outside..

$$-m^{-m}$$, m = -2
=> $$-(2^{-(-2)})$$
=>$$-2^2$$
=-4
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Re: If m=−2, what is [#permalink]

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19 Dec 2012, 23:30
Amateur wrote:
If m=−2, what is −m^−m?
−16
−4
−1/4
1/4
4

$$=-(-2)^{-(-2)}=-(-2)^2=-4$$

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Re: If m=−2, what is [#permalink]

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20 Dec 2012, 02:11
Amateur wrote:
I thought this to be a poor quality question because they did not mention either - m^-m or (-m)^-m..... i took it for the second one and flipped the sign... Am I being wrong in understanding GMAT presentation?

If it were $$(-m)^{-m}$$ it would be written as $$(-m)^{-m}$$ not as $$-m^{-m}$$.
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Re: If m=−2, what is −m^−m? [#permalink]

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25 Mar 2014, 00:52
m = -2 so -m = 2

$$- (-2)^2$$

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Re: If m=−2, what is −m^−m?   [#permalink] 25 Mar 2014, 00:52
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