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

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

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New post 12 Jan 2015, 10:14
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (00:36) correct 20% (00:51) wrong based on 99 sessions

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Kudos [?]: 135518 [0], given: 12697

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

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New post 12 Jan 2015, 10:53
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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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New post 13 Jan 2015, 17:38
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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.

Kudos [?]: 11 [1], given: 58

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

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New post 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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New post 18 Jan 2015, 03:48
:-D It is B.. For sure

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

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New post 18 Jan 2015, 03:51
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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

answer is B

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

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New post 05 Nov 2017, 04:50
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Kudos [?]: 287 [0], given: 0

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