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help- solve this 700-800 exponent question FAST (<2min)?

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by queenisabella » Sun Feb 19, 2012 12:04 pm
This ended up taking way too long for me to solve so I ended up guessing. Please share any tips and tricks and shortcuts to solve this.

Each of the following equations has at least one solution EXCEPT

A) –2^n = (–2)^-n

B) 2^-n = (–2)^n

C) 2^n = (–2)^-n

D) (–2)^n = –2^n

E) (–2)^-n = –2^-n
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by LalaB » Sun Feb 19, 2012 12:17 pm
the answ is A,since A has no solution


-2^n = (-2)^-n
please pay attention to the fact, that -2^n means -1* 2^n

so, ur left side is always negative.
2^n can be equal to (-2)^-n ,if n=0 but even then u will have -1=1
so, A has no solution
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by pemdas » Sun Feb 19, 2012 12:19 pm
supply 0 and 1
A) –2^0 = (–2)^-0
A) –2^1 = (–2)^-1

IOM a
queenisabella wrote:This ended up taking way too long for me to solve so I ended up guessing. Please share any tips and tricks and shortcuts to solve this.

Each of the following equations has at least one solution EXCEPT

A) –2^n = (–2)^-n

B) 2^-n = (–2)^n

C) 2^n = (–2)^-n

D) (–2)^n = –2^n

E) (–2)^-n = –2^-n
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by LalaB » Sun Feb 19, 2012 12:20 pm
pemdas, do u mean that A has 2 answers? I have doubts about that. I think A has no solution at all
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by pemdas » Sun Feb 19, 2012 12:23 pm
LalaB wrote:pemdas, do u mean that A has 2 answers? I have doubts about that. I think A has no solution at all
i show proportions on LHS and RHS. The sign of equality should be changed from "=" to "!=" for more correctness.
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by LalaB » Sun Feb 19, 2012 12:28 pm
@queenisabella,

as for <2 min, in order to save ur time, gmat writers posted the right answer first. in ur fist attempt (answ choice A) u will get the right answer, and will save ur precious time
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by tomada » Sun Feb 19, 2012 2:46 pm
Keep in mind that, on the actual test, the correct answer could be the 5th choice.
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by GMATGuruNY » Sun Feb 19, 2012 6:03 pm
I posted a solution here:

https://www.beatthegmat.com/mgcat-700-800q-t81682.html
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