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Re: n < - 1 [#permalink]
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QA is \(n^6\)

QB is \(n^8\)

Even you plug in a quantity < -1 such as \(\frac{3}{2} = 1.5\) the result will be in the first case 11.39 and in the second quantity 25.6.

So the answer is always B

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Re: n < - 1 [#permalink]
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shahab1987 wrote:
I think the answer should be D, because when we put -1/2 A is bigger than B and if we put -2 so B is bigger than A, so i think the answer should be D
please help me
It is kind of you!



Hi, we are looking for n<-1..

when you take n as -1/2, it is >-1, and thus outside the range n<-1.
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Re: n < - 1 [#permalink]
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Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project




\(n < - 1\)

Quantity A
Quantity B
\(n^2 * n^4\)
\((n^2)^4\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Given:
Quantity A: (n²)(n⁴)
Quantity B: (n²)⁴

Simplify:
Quantity A: n⁶
Quantity B: n⁸

From here, we can solve this question using matching operations

Since n⁶ must be POSITIVE, we can safely divide both quantities by n⁶ to get:
Quantity A: 1
Quantity B: n²

Since n < -1, we know that n² is greater than 1

Answer: B

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