Carcass wrote:
\(a < 0 < b\)
Quantity A |
Quantity B |
\(a^{-10}\) |
\(b^{-5}\) |
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.
Let's
test some values of a and b
case i: If a < 0 < b, then it COULD be the case that a = -1 and b = 1
We get:
QUANTITY A: \(a^{-10}=(-1)^{-10}=\frac{1}{(-1)^{10}}=\frac{1}{1}=1\)
QUANTITY B: \(b^{-5}=1^{-5}=\frac{1}{1^5}=\frac{1}{1}=1\)
In this case,
the two quantities are equalcase ii: If a < 0 < b, then it COULD be the case that a = -1 and b = 2
We get:
QUANTITY A: \(a^{-10}=(-1)^{-10}=\frac{1}{(-1)^{10}}=\frac{1}{1}=1\)
QUANTITY B: \(b^{-5}=2^{-5}=\frac{1}{2^5}=\frac{1}{32}\)
In this case,
Quantity A is greaterAnswer: D
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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