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9^n/9^n+1
[#permalink]
04 Jan 2022, 06:38
04 Jan 2022, 06:38
2
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Question Stats:
78% (00:50) correct
21% (01:38) wrong based on 38 sessions
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\(n> 0\)
Kudos for the right answer and explanation
See more on this topic Exponents
Quantity A |
Quantity B |
\(\frac{9^n}{9^{n+1}} \) |
\(\frac{9^{n+1}}{9^{n+2}}\) |
Kudos for the right answer and explanation
See more on this topic Exponents
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
9^n/9^n+1
[#permalink]
04 Jan 2022, 06:50
04 Jan 2022, 06:50
2
Carcass wrote:
\(n> 0\)
Kudos for the right answer and explanation
See more on this topic Exponents
Quantity A |
Quantity B |
\(\frac{9^n}{9^{n+1}} \) |
\(\frac{9^{n+1}}{9^{n+2}}\) |
Kudos for the right answer and explanation
See more on this topic Exponents
Key property: \(\frac{b^x}{b^y} = b^{x-y}\)
Given:
QUANTITY A: \(\frac{9^n}{9^{n+1}} \)
QUANTITY B: \(\frac{9^{n+1}}{9^{n+2}}\)
Apply the given property to get:
QUANTITY A: \(9^{(n) - (n+1)}\)
QUANTITY B: \(9^{(n + 1) - (n+2)}\)
Simplify to get:
QUANTITY A: \(9^{-1}\)
QUANTITY B: \(9^{-1}\)
Answer: C
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gmatclubot
9^n/9^n+1 [#permalink]
04 Jan 2022, 06:50
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