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16 Jun 2012, 20:47
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
90% (00:41) correct
10%
(01:02)
wrong
based on 535
sessions
History
Date
Time
Result
Not Attempted Yet
If \((\frac{2}{3})^n=(\frac{3}{2})^2\), what is the value of n?
A. -2
B. -1
C. 0
D. 1
E. 2
A. -2
B. -1
C. 0
D. 1
E. 2
17 Jun 2012, 02:58
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jsphcal
If (2/3)^n=(3/2)^2, what is the value of n?
A. -2
B. -1
C. 0
D. 1
E. 2
A. -2
B. -1
C. 0
D. 1
E. 2
Since \((\frac{3}{2})^2=(\frac{2}{3})^{-2}\) then we have that \((\frac{2}{3})^n=(\frac{2}{3})^{-2}\) --> \(n=-2\).
Answer: A.
For more on number theory and exponents check: https://gmatclub.com/forum/math-number- ... 88376.html
DS questions on exponents: https://gmatclub.com/forum/search.php?s ... &tag_id=39
PS questions on exponents: https://gmatclub.com/forum/search.php?s ... &tag_id=60
Tough and tricky DS exponents and roots questions with detailed solutions: https://gmatclub.com/forum/tough-and-tr ... 25967.html
Tough and tricky PS exponents and roots questions with detailed solutions: https://gmatclub.com/forum/tough-and-tr ... 25956.html
Hope it helps.
General Discussion
16 Jun 2012, 21:16
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I was surprised to see this question in the 600-700 range. It's just testing the basic exponent property involving a negative sign.
(n)^-1 = (1/n)
(n)^-1 = (1/n)
