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If a ≠ 0, what is the value of (a^x/a^y)^3 ?

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Joined: 02 Sep 2009
Posts: 51280
If a ≠ 0, what is the value of (a^x/a^y)^3 ?  [#permalink]

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12 Jan 2015, 10:14
1
00:00

Difficulty:

5% (low)

Question Stats:

82% (00:48) correct 18% (00:57) wrong based on 133 sessions

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If a ≠ 0, what is the value of (a^x/a^y)^3 ?

(1) a = 2
(2) x = y

Kudos for a correct solution.

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Joined: 13 Sep 2014
Posts: 87
WE: Engineering (Consulting)
Re: If a ≠ 0, what is the value of (a^x/a^y)^3 ?  [#permalink]

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12 Jan 2015, 10:53
1
a^x/a^y = (a^x-y)^3

statement A: a=2
Question becomes (2^x-y)^3 = 8^x-y Can't Solve.

Statement B: x = y
Question becomes (a^x-x)^3 = 1

Hence Answer has to be B
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Re: If a ≠ 0, what is the value of (a^x/a^y)^3 ?  [#permalink]

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13 Jan 2015, 17:38
1
The question statement asks the value of [ (a^ x -y)] ^ 3 so we need x-y & a value to find the value of expression.

Statement I: a= 2 the question becomes : [ 2^ (x-y)]^ 3 we do not know about x-y therefore not sufficient.

Statement II: x = y The question becomes 1^ 3 so sufficient so B.
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Concentration: General Management, Technology
GMAT Date: 03-02-2015
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Re: If a ≠ 0, what is the value of (a^x/a^y)^3 ?  [#permalink]

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13 Jan 2015, 21:59
Here we go..

St1: a = 2

No information is given about x and y
Clearly insufficient

St2: x=y

then {a^(x-y)}^3 = (a^0)^3 = 1

hence sufficient

B is the winner.
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Re: If a ≠ 0, what is the value of (a^x/a^y)^3 ?  [#permalink]

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18 Jan 2015, 03:51
1
Bunuel wrote:
If a ≠ 0, what is the value of (a^x/a^y)^3 ?

(1) a = 2
(2) x = y

Kudos for a correct solution.

from 1: a =2; we end up with 2^3(x-y), NSF
from 2: x= y, 1^3 =1, sufficient

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Re: If a ≠ 0, what is the value of (a^x/a^y)^3 ?  [#permalink]

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05 Nov 2017, 04:50
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: If a ≠ 0, what is the value of (a^x/a^y)^3 ? &nbs [#permalink] 05 Nov 2017, 04:50
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