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# What is the value of 3^-(x + y) / 3^-(x - y)? (1) x = 2 (2)

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What is the value of 3^-(x + y) / 3^-(x - y)? (1) x = 2 (2) [#permalink]

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05 May 2006, 20:51
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What is the value of 3^-(x + y) / 3^-(x - y)?
(1) x = 2
(2) y = 3
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Re: DS: value of 3^-(x+y). [#permalink]

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05 May 2006, 21:49
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M8 wrote:
What is the value of 3^-(x + y) / 3^-(x - y)?
(1) x = 2
(2) y = 3

= 3^-(x + y) / 3^-(x - y)
= 3^(x - y)/3^(x + y)
= 3^x 3^-y/3^x 3^y
= 1/ 3^2y

so 2 is suff. B.
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05 May 2006, 21:56
A for me
3^-(x + y) / 3^-(x - y)={1/3^(x+y)}/{1/3^(x-y)}
=3^(x-y)/3^(x+y)=3^(x+y)*3^(x-y)=3^x+y+x-y=3^2x=3^4
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06 May 2006, 10:07
Anybody else?
Manager
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06 May 2006, 10:58
I agree with B
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06 May 2006, 11:07
Yurik79 wrote:
A for me
3^-(x + y) / 3^-(x - y)={1/3^(x+y)}/{1/3^(x-y)}
=3^(x-y)/3^(x+y)=3^(x+y)*3^(x-y)=3^x+y+x-y=3^2x=3^4

The calculation done by you here is wrong. The X part gets cancelled rather than the Y. Hence 2nd stmt is sufficient.
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06 May 2006, 11:16
3^-(x + y) / 3^-(x - y)={1/3^(x+y)}/{1/3^(x-y)}
=3^(x-y)/3^(x+y)=3^(x+y)*3^-(x+y)
My fault))stupid mistake[/b]
Agree B it is
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06 May 2006, 16:12
Agreed with B,,, Made stupid mistakes!
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06 May 2006, 16:22
Yes, it depends on the value of y. Answer is B.
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10 May 2006, 20:22
3^-(x + y) / 3^-(x - y)
= 1/3^(x+y) x 3^(x-y)
= 3^(x-y)/3^(x+y)
= 3^x(3^-y)/3^x(3^y)
= 1/3^2y

St1:
Insufficient.

St2:
Sufficient.

Ans B
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Re: What is the value of 3^-(x + y) / 3^-(x - y)? (1) x = 2 (2) [#permalink]

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28 Jul 2015, 13:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the value of 3^-(x + y) / 3^-(x - y)? (1) x = 2 (2)   [#permalink] 28 Jul 2015, 13:07
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