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y^7y^8y^-6
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16 Jul 2019, 02:20
16 Jul 2019, 02:20
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Expert Reply
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00:00
Question Stats:
44% (00:37) correct
55% (00:33) wrong based on 163 sessions
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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.
Re: y^7y^8y^-6
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12 Sep 2019, 21:20
12 Sep 2019, 21:20
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1
Bookmarks
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.
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
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13 Sep 2019, 08:29
13 Sep 2019, 08:29
1
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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