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# a < 0 < b

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Joined: 18 Apr 2015
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a < 0 < b [#permalink]  15 Feb 2017, 08:46
Expert's post
00:00

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

a < 0 < b

 Quantity A Quantity B a raised to -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.
[Reveal] Spoiler: OA

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SVP
Joined: 07 Jun 2014
Posts: 1821
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 606 [1] , given: 120

Re: a < 0 < b [#permalink]  21 Feb 2017, 16:32
1
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Expert's post
Explanation

The best strategy to solve these problems is by plugging values

Put a = -1 and b = 1, then we have

Quantity A is -1^1^0 = 1

Quantity B is 1^5 =1

Clearly the quantities are equal. Now put a = -2 and b = 1

Quantity A is -2^1^0 = 1024

Quantity B is 1^5 =1

Now Quantity A is greater. Clearly both A and C cannot be right at the same time so option D is the correct choice!
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Joined: 10 Aug 2017
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Re: a < 0 < b [#permalink]  10 Aug 2017, 08:35
But the question states a^-10 power and b^-5... and a < 0 < b

-1^-10 = -1
1^-5 = 1

In what circumstance can A and B be equal if you raise them to a negative power?

Ok, I am an idiot - I was playing with the equation in my calculator, which is why it was driving me nuts... because I was almost positive it was wrong... I was inputting -1^-10, and not (-1)^-10... You are correct.
Re: a < 0 < b   [#permalink] 10 Aug 2017, 08:35
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