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(27)^-8
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07 Dec 2017, 03:14
07 Dec 2017, 03:14
Expert Reply
00:00
Question Stats:
88% (00:20) correct
12% (01:43) wrong based on 25 sessions
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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.
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
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Re: (27)^-8
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05 Feb 2018, 21:33
05 Feb 2018, 21:33
1
Expert Reply
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.
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.
