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If m = 2, what is m^(m)?

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Bunuel
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If m = 2, what is m^(m)? [#permalink] New post   24 Jul 2022, 04:51
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A
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27% (00:34) correct 73% (00:27) wrong based on 75 sessions
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If \(m = −2\), what is \(−m^{(−m)}\)?

A. −16
B. −4
C. −1/4
D. 1/4
E. 4
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B
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Re: If m = 2, what is m^(m)? [#permalink] New post   24 Jul 2022, 05:21
m = -2
-m = 2
(-m)^(-m) = 2^2 = 4
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Re: If m = 2, what is m^(m)? [#permalink] New post   24 Jul 2022, 05:43
4. Since -2^(-(-2) = -2^2 = 4
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If m = 2, what is m^(m)? [#permalink] New post   Updated on: 25 Jul 2022, 10:10
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Bunuel wrote:
If \(m = −2\), what is \(−m^{(−m)}\)?

A. −16
B. −4
C. −1/4
D. 1/4
E. 4

Useful property: \(-k = (-1)(k)\)

So we can write the expression as follows: \((−1)(m)^{(−1)(m)}\)

Plug \(m = −2\) into the expression to get: \((−1)(-2)^{(−1)(-2)}=(−1)(-2)^{2}=(−1)(4) = -4\)

Answer: B

Originally posted by BrentGMATPrepNow on 24 Jul 2022, 06:51.
Last edited by BrentGMATPrepNow on 25 Jul 2022, 10:10, edited 1 time in total.
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If m = 2, what is m^(m)? [#permalink] New post   25 Jul 2022, 09:06
BrentGMATPrepNow wrote:
Bunuel wrote:
If \(m = −2\), what is \(−m^{(−m)}\)?

A. −16
B. −4
C. −1/4
D. 1/4
E. 4

Useful property: \(-k = (-1)(k)\)

So we can write the expression as follows: \((−1)(m)^{(−1)(m)}\)

Plug \(m = −2\) into the expression to get:(−1)(-2)^{(−1)(-2)}=(−1)(-2)^{2}=(−1)(4) = -4[/m]

Answer: B


So the negative of a number indicates an operation on that number, not a new number that is the negative of the former?

So how is a new number that is the negative of a number then indicated without introducing an operation?

Parentheses (-m)^-m ?

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BrentGMATPrepNow
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Re: If m = 2, what is m^(m)? [#permalink] New post   25 Jul 2022, 09:16
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Regor60 wrote:
BrentGMATPrepNow wrote:
Bunuel wrote:
If \(m = −2\), what is \(−m^{(−m)}\)?

A. −16
B. −4
C. −1/4
D. 1/4
E. 4

Useful property: \(-k = (-1)(k)\)

So we can write the expression as follows: \((−1)(m)^{(−1)(m)}\)

Plug \(m = −2\) into the expression to get:(−1)(-2)^{(−1)(-2)}=(−1)(-2)^{2}=(−1)(4) = -4[/m]

Answer: B


So the negative of a number indicates an operation on that number, not a new number that is the negative of the former?

So how is a new number that is the negative of a number then indicated without introducing an operation?

Parentheses (-m)^-m ?

Posted from my mobile device


That's right.

Aside: I tried entering the above 2-word response, but the site says my post is too short.
It should be fine now.
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Re: If m = 2, what is m^(m)? [#permalink]
25 Jul 2022, 09:16
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