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# GMAT Prep qs If xy =1, 2 ^ / 2 ^ is equal to 2 4 8 16 32

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Senior Manager
Joined: 05 Oct 2008
Posts: 270

Kudos [?]: 538 [0], given: 22

GMAT Prep qs If xy =1, 2 ^ / 2 ^ is equal to 2 4 8 16 32 [#permalink]

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17 Nov 2008, 04:11
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

GMAT Prep qs

If xy =1,
2 ^ [(x+y)^2] / 2 ^ [(x-y)^2] is equal to

2
4
8
16
32

Last edited by study on 17 Nov 2008, 10:25, edited 1 time in total.

Kudos [?]: 538 [0], given: 22

Intern
Joined: 30 Oct 2008
Posts: 30

Kudos [?]: 2 [0], given: 0

Re: Good qs on Exponents [#permalink]

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17 Nov 2008, 07:18
The value cannot be determined with given equation/data. Are you sure this is the problem and the equation is not 2^[(x+y)^2]/2^[(x-y)^2]? If so then answer is 16

Kudos [?]: 2 [0], given: 0

Senior Manager
Joined: 05 Oct 2008
Posts: 270

Kudos [?]: 538 [0], given: 22

Re: Good qs on Exponents [#permalink]

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18 Nov 2008, 05:43
How do you get 16?

I get 4xy, which equals to 4.

And then (2 ^4) / 2 = 2^3 = 8

no??

Kudos [?]: 538 [0], given: 22

Intern
Joined: 03 Oct 2008
Posts: 17

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

Re: Good qs on Exponents [#permalink]

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18 Nov 2008, 07:30
1
KUDOS
2 ^ [(x+y)^2] / 2 ^ [(x-y)^2]

2^ { [(x+y)^] - [(x - y)^2]}

2^[ x^2 + y^2 + 2xy -x^2 - y^2 +2xy]

2^ (4xy)

2^4

16.

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

Re: Good qs on Exponents   [#permalink] 18 Nov 2008, 07:30
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