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Re: If xy = 1 and x is not equal to y, then what is the value of [#permalink]
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Showmeyaa wrote:
Hey BrentGMATPrepNow,

Not that it changes the answer but I'm sure you meant:

Simplify: \(=7 ^{(\frac{-1}{xy})}\)

Substitute \(1\) for \(xy\) to get: \(=7 ^{(\frac{-1}{1})} = 7^{-1}=\frac{1}{7}\)


Good catch, thanks!
I've edited my response.

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If xy = 1 and x is not equal to y, then what is the value of [#permalink]
Given that xy=1 and x is not equal to y
So y=1/x
Substitute y=1/x in given expression
\((7 ^{(\frac{1}{x-y})})^{(\frac{1}{x}- \frac{1}{y})}\)
We get (7)^-1/xy ; xy=1 ; 1/7
Option B

Bunuel wrote:
If xy = 1 and x is not equal to y, then what is the value of \((7 ^{(\frac{1}{x-y})})^{(\frac{1}{x}- \frac{1}{y})}\)?


A. \(\frac{1}{49}\)

B. \(\frac{1}{7}\)

C. 1

D. 7

E. 49


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If xy = 1 and x is not equal to y, then what is the value of [#permalink]
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