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If xy= 1, what is the value of 2^ / 2^ ? A) 2 B) 4

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Senior Manager
Senior Manager
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Joined: 22 Sep 2005
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If xy= 1, what is the value of 2^ / 2^ ? A) 2 B) 4  [#permalink] New post 14 Nov 2006, 10:46
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B
C
D
E

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If xy= 1, what is the value of 2^[(x+y)^2] / 2^[(x-y)^2] ?

A) 2

B) 4

C) 8

D) 16

E) 32
Manager
Manager
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Joined: 12 Oct 2006
Posts: 81
Location: NJ, US
Followers: 1

Kudos [?]: 0 [0], given: 0

 [#permalink] New post 14 Nov 2006, 10:56
I feel like I am walking into a trap but I need to work on these types of problems. Here is what I got...

D

lets take the original 2's out for now and just deal with the exponents. We can do this because both original numbers are the same.

x^2+2xy+y^2 / x^2-2xy+y^2

x^2+2xy+y^2-x^2-2xy-y^2

Reduced it's 4xy

Bring the 2 back

2^4xy

2^4

16

Am I correct or have the exponents got me again?
Senior Manager
Senior Manager
avatar
Joined: 22 Sep 2005
Posts: 280
Followers: 1

Kudos [?]: 56 [0], given: 1

 [#permalink] New post 14 Nov 2006, 13:24
OA is D, so you must be right.
  [#permalink] 14 Nov 2006, 13:24
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If xy= 1, what is the value of 2^ / 2^ ? A) 2 B) 4

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