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555-605 (Medium)|   Algebra|   Exponents|                     
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NipunBagaria
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pchandra9695
I did reach to 3^n>=0, but how does that make the statement sufficient?

Can someone give a logical explanation without using numbers?

After certain algebraic manipulations, the question became (we were able to rephrase the question) "Is \(3^{n}\geq{0}\)?" A positive integer (3) in a positive integer power (n) is always positive, so the answer to this question is YES. Hence, the statement is sufficient.
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Walkabout
If n is a positive integer, is the value of b - a at least twice the value of \(3^n - 2^n\)?


(1) \(a= 2^{(n+1)}\) and \(b= 3^{(n+1)}\)

(2) \(n = 3\)



Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience

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