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What is the value of a^-2 * b^-3 ? (1) a^-3 * b^-2 = 36^-1

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Manager
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What is the value of a^-2 * b^-3 ? (1) a^-3 * b^-2 = 36^-1 [#permalink] New post 21 Sep 2008, 03:25
What is the value of a^-2 * b^-3 ?
(1) a^-3 * b^-2 = 36^-1
(2) ab^-1 = 6^-1
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Re: GMAT SET 17 [#permalink] New post 21 Sep 2008, 04:14
IMO C, both together are sufficient. OA?
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Re: GMAT SET 17 [#permalink] New post 21 Sep 2008, 04:47
nikhilpoddar wrote:
What is the value of a^-2 * b^-3 ?
(1) a^-3 * b^-2 = 36^-1
(2) ab^-1 = 6^-1


(1) Insufficient
We don't know the values of a or b.

(2) Insufficient
We don't know the values of a or b.

(1) and (2) Sufficient
ab = 6
a^3 * b^2 = 36
a^2 * b^2 * a = 36
(ab)^2 * a = 36
6^2 * a = 36
a = 1
b = 6
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Re: GMAT SET 17 [#permalink] New post 21 Sep 2008, 08:05
C

a = 1
b = 6

Stmt 1 : b could be 6 or -6, also shows a is positive (thus eliminating -1)
- INSF

Stmt 2 : a or b could both be postiive or negative
-INSF

Togehter - SUF - =1/246
Re: GMAT SET 17   [#permalink] 21 Sep 2008, 08:05
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What is the value of a^-2 * b^-3 ? (1) a^-3 * b^-2 = 36^-1

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