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3^(-n)*3^(-n) = 1/81, what is the value of n?
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12 Nov 2017, 00:02
12 Nov 2017, 00:02
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Question Stats:
78% (00:29) correct
21% (01:49) wrong based on 14 sessions
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\(3^{-n}*3^{-n} = \frac{1}{81}\), what is the value of n?
(A) -2
(B) 0
(C) 1
(D) 2
(E) 4
Kudos for correct solution.
(A) -2
(B) 0
(C) 1
(D) 2
(E) 4
Kudos for correct solution.
Re: 3^(-n)*3^(-n) = 1/81, what is the value of n?
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12 Nov 2017, 23:26
12 Nov 2017, 23:26
2
We know that \(3^{-n}3^{-n} = 3^{-2n}\), then we can rewrite \(3^{-2n} = \frac{1}{3^{2n}}\) to facilitate the comparison with 1/81.
Now we have to check which value of n makes \(3^{2n} = 81\). Since 81 = 2^4, 2n = 4, thus n = 2.
Answer D
Now we have to check which value of n makes \(3^{2n} = 81\). Since 81 = 2^4, 2n = 4, thus n = 2.
Answer D
Re: 3^(-n)*3^(-n) = 1/81, what is the value of n?
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18 Jan 2022, 20:43
18 Jan 2022, 20:43
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