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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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Source: — Problem Solving |

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
Happy are those who dream dreams and are ready to pay the price to make them come true.(c)

In order to succeed, your desire for success should be greater than your fear of failure.(c)
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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
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