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28 Mar 2018, 23:33
Kudos
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D
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:
93% (00:43) correct
7%
(00:56)
wrong
based on 79
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of \(x^{(-4)}\)?
(1) \(x^{(-2)} = 225\)
(2) \(x^4 = \frac{1}{50,625}\)
(1) \(x^{(-2)} = 225\)
(2) \(x^4 = \frac{1}{50,625}\)
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
29 Mar 2018, 00:34
Kudos
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Bunuel
As all we're given is equations, we'll look for a simplification-based approach.
This is a Precise methodology.
(1) Since \((a^b)^c=a^{bc}\) then we can raise our original expression to the power of 2 to get \(x^{(-4)}= (x^{(-2)})^2 = 225^2\)
Sufficient.
(2) Since \(a^{(-b)} = \frac{1}{a^b}\) then we know that \(x^{(-4)} = 50,625\)
Sufficient.
(D) is our answer.
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