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(-5)^6 or (-6)^5

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(-5)^6 or (-6)^5 [#permalink] New post 25 Aug 2018, 00:08
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Question Stats:

100% (00:06) correct 0% (00:00) wrong based on 6 sessions
Quantity A
Quantity B
\((-5)^6\)
(\(-6)^5\)


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.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: (-5)^6 or (-6)^5 [#permalink] New post 25 Aug 2018, 07:41
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Expert's post
Carcass wrote:
Quantity A
Quantity B
\((-5)^6\)
(\(-6)^5\)


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.

Kudos for R.A.E


Two important rules:

RULE #1: ODD exponents preserve the sign of the base.
So, (NEGATIVE)^(ODD integer) = NEGATIVE
and (POSITIVE)^(ODD integer) = POSITIVE

RULE #2: EVEN exponent always yields a positive result (unless the base = 0)
So, (NEGATIVE)^(EVEN integer) = POSITIVE
and (POSITIVE)^(EVEN integer) = POSITIVE

Given:
Quantity A: (-5)^6
Quantity B: (-6)^5

In other words:
Quantity A: (NEGATIVE)^EVEN
Quantity B: (NEGATIVE)^ODD

From RULE #2, we know that Quantity A is POSITIVE
From RULE #1, we know that Quantity B is NEGATIVE

So, Quantity A must be greater

Answer: A

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: (-5)^6 or (-6)^5   [#permalink] 25 Aug 2018, 07:41
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