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(-21)^12 or (-31)^13

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Carcass
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(-21)^12 or (-31)^13 [#permalink] New post   13 May 2022, 06:25
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100% (00:12) correct 0% (00:00) wrong based on 9 sessions

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Quantity A
Quantity B
\( (-21)^{12}\)
\( (-31)^{13}\)



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

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A
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GreenlightTestPrep
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Re: (-21)^12 or (-31)^13 [#permalink] New post   14 May 2022, 06:46
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Carcass wrote:
Quantity A
Quantity B
\( (-21)^{12}\)
\( (-31)^{13}\)




Key Properties:
ODD exponents preserve the sign of the base.
So, (NEGATIVE)^(ODD integer) = NEGATIVE
and (POSITIVE)^(ODD integer) = POSITIVE

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

So, we have:
QUANTITY A: (-21)^{12} =[/m] some POSITIVE number (since the exponent is EVEN)
QUANTITY B: \( (-31)^{13} = \) some NEGATIVE number (since the odd exponent preserves the sign of the base)

Answer: A
Prep Club for GRE Bot
gmatclubot
Re: (-21)^12 or (-31)^13 [#permalink]
14 May 2022, 06:46
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