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99^9/9^99 or 11^9/9^90

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99^9/9^99 or 11^9/9^90 [#permalink] New post 22 Aug 2018, 09:19
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Question Stats:

58% (00:36) correct 41% (00:37) wrong based on 17 sessions
Quantity A
Quantity B
\(\frac{{99}^{9}}{{9^{99}}}\)
\(\frac{{11}^{9}}{{9}^{90}}\)


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.

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[Reveal] Spoiler: OA

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Re: 99^9/9^99 or 11^9/9^90 [#permalink] New post 22 Aug 2018, 10:07
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A very Smart Question Rather :

To solve or Compare the two Quantities we will try to get the Fraction ( In particular the Denominator Same for both Qty )

For Qty A we have the Following Situation :

99^ 9 / 9 ^ 99 = ( 11 * 9 ) ^ 9 / 9 ^99 --> 9^9(11^9)/ 9 ^ 99 --> 11^9 / 9 ^ 90 [ We divided or Took 9^ 9 out as Common ] .

So Both Qty are equal

ANSWER C
Re: 99^9/9^99 or 11^9/9^90   [#permalink] 22 Aug 2018, 10:07
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99^9/9^99 or 11^9/9^90

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