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9^n/9^n+1

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Carcass
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9^n/9^n+1 [#permalink] New post   04 Jan 2022, 06:38
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78% (00:48) correct 21% (01:38) wrong based on 37 sessions

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\(n> 0\)


Quantity A
Quantity B
\(\frac{9^n}{9^{n+1}} \)
\(\frac{9^{n+1}}{9^{n+2}}\)



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C
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GreenlightTestPrep
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9^n/9^n+1 [#permalink] New post   04 Jan 2022, 06:50
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Carcass wrote:
\(n> 0\)


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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