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by anshumishra » Wed Jan 12, 2011 3:58 pm
Night reader wrote:If xy = 1, what is the value of 3^(x+y)^2 / 3^(x^2+y^2) ?
(A) 2
(B) 3
(C) 6
(D) 9
(E) 27
3^(x+y)^2 / 3^(x^2+y^2) = 3^(2xy) = 3^2 = 9.
D
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by bblast » Wed Jan 12, 2011 9:12 pm
IMO D
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by Anurag@Gurome » Wed Jan 12, 2011 11:19 pm
Night reader wrote:If xy = 1, what is the value of 3^(x+y)^2 / 3^(x^2+y^2) ?
(A) 2
(B) 3
(C) 6
(D) 9
(E) 27
If anyone is not comfortable with algebra, they can select x = y = 1, as that doesn't violate anything. Now, the expression can re-written as: [3^(1 + 1)²]/[3^(1² + 1²)] = (3^4)/(3²) = 3² = 9

The correct answer is D.
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