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# (27)^-8

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(27)^-8 [#permalink]  07 Dec 2017, 03:14
Expert's post
00:00

Question Stats:

83% (00:17) correct 16% (01:43) wrong based on 18 sessions
 Quantity A Quantity B $$(27)^{-8}^$$ $$(81)^{-6}^$$

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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Sherpa Prep Representative
Joined: 15 Jan 2018
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Re: (27)^-8 [#permalink]  05 Feb 2018, 21:33
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Expert's post
This question is quite easy if you've memorized your powers, specifically the powers of 3. When you recognize that 27 = 3^3, and 81 = 3^4, you can convert quantity A as follows:

27^-8 = (3^3)^-8 = 3^-24

since powers in parenthesis can be multiplied. Similarly, quantity B can be converted as follows:

81^-6 = (3^4)^-6 = 3^-24

Thus, the two quantities are equal, so it's C.
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Re: (27)^-8 [#permalink]  07 Feb 2018, 01:53
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Manager
Joined: 29 Nov 2017
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Re: (27)^-8 [#permalink]  17 May 2018, 23:57
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its 1/3^11 on both the sides hence it is C
Re: (27)^-8   [#permalink] 17 May 2018, 23:57
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# (27)^-8

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