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y^7y^8y^-6

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Carcass
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y^7y^8y^-6 [#permalink] New post   16 Jul 2019, 02:20
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Quantity A
Quantity B
\(y^7 \times y^8 \times y^{-6}\)
\(3y^9\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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D
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janani11
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Re: y^7y^8y^-6 [#permalink] New post   12 Sep 2019, 21:20
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Qty A: y^(7+8-6) = y^9
Qty B: 3y^9
We don’t know if y is positive or negative. Since it is raised to an odd power sign will be reversed if it is negative. So answer is D.
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y^7y^8y^-6 [#permalink] New post   13 Sep 2019, 08:29
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Carcass wrote:
Quantity A
Quantity B
\(y^7 \times y^8 \times y^{-6}\)
\(3y^9\)



Given:
Quantity A: \(y^7 \times y^8 \times y^{-6}\)
Quantity B: \(3y^9\)

Simplify:
Quantity A: \(y^9\)
Quantity B: \(3y^9\)

Now let's test some possible y-values

case i: if y = 0, we get:
Quantity A: \(y^9 = 0^9 = 0\)
Quantity B: \(3y^9=3(0^9)=3(0)=0\)
In this case, the two quantities are equal

case ii: if y = 1, we get:
Quantity A: \(y^9 = 1^9 = 1\)
Quantity B: \(3y^9=3(1^9)=3(1)=3\)
In this case, Quantity B is greater

Answer: D

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Re: y^7y^8y^-6 [#permalink] New post   04 Aug 2024, 01:34
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: y^7y^8y^-6 [#permalink]
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