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What is the value of x^(-4)? (1) x^(-2) = 225 (2) x^4 = 1/50,625

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 50002
What is the value of x^(-4)? (1) x^(-2) = 225 (2) x^4 = 1/50,625  [#permalink]

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New post 28 Mar 2018, 23:33
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  15% (low)

Question Stats:

96% (00:45) correct 4% (00:33) wrong based on 36 sessions

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Re: What is the value of x^(-4)? (1) x^(-2) = 225 (2) x^4 = 1/50,625  [#permalink]

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New post 29 Mar 2018, 00:34
Bunuel wrote:
What is the value of \(x^{(-4)}\)?


(1) \(x^{(-2)} = 225\)

(2) \(x^4 = \frac{1}{50,625}\)


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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Re: What is the value of x^(-4)? (1) x^(-2) = 225 (2) x^4 = 1/50,625 &nbs [#permalink] 29 Mar 2018, 00:34
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What is the value of x^(-4)? (1) x^(-2) = 225 (2) x^4 = 1/50,625

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