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-k^(-k) versus -4, when m = -2

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GreenlightTestPrep
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-k^(-k) versus -4, when m = -2 [#permalink] New post   03 Aug 2022, 09:09
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\(k = -2\)

Quantity A
Quantity B
\(-k^{-k}\)
\(-4\)

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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C
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GreenlightTestPrep
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-k^(-k) versus -4, when m = -2 [#permalink] New post   05 Aug 2022, 08:11
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GreenlightTestPrep wrote:
\(k = -2\)

Quantity A
Quantity B
\(-k^{-k}\)
\(-4\)

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


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

So we can rewrite the Quantity A as follows: \((−1)(k)^{(−1)(k)}\)
Plug \(k = −2\) into the expression to get: \((−1)(-2)^{(−1)(-2)}=(−1)(-2)^{2}=(−1)(4) = -4\)
So, Quantity A = -4, which means the two quantities are equal.

Answer: C
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Re: -k^(-k) versus -4, when m = -2 [#permalink] New post   02 Sep 2023, 04:48
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Re: -k^(-k) versus -4, when m = -2 [#permalink]
02 Sep 2023, 04:48
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