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(9^11 * 11^9)/(11^11 * 9^9) =
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08 Nov 2021, 06:34
08 Nov 2021, 06:34
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\(\frac{9^{11} * 11^9}{11^{11} * 9^9} =\)
A. 81/121
B. 9/11
C. 1
D. 11/9
E. 121/81
A. 81/121
B. 9/11
C. 1
D. 11/9
E. 121/81
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Re: (9^11 * 11^9)/(11^11 * 9^9) =
[#permalink]
08 Nov 2021, 06:48
08 Nov 2021, 06:48
Carcass wrote:
\(\frac{9^{11} * 11^9}{11^{11} * 9^9} =\)
A. 81/121
B. 9/11
C. 1
D. 11/9
E. 121/81
A. 81/121
B. 9/11
C. 1
D. 11/9
E. 121/81
Useful property: \(\frac{AB}{CD} = \frac{A}{C} \times \frac{B}{D}\)
Apply property to get: \(\frac{9^{11} * 11^9}{11^{11} * 9^9} = \frac{9^{11}}{9^9} \times \frac{11^{9}}{11^{11}} \)
\(= 9^2 \times \frac{1}{11^{2}} \)
\(= 81 \times \frac{1}{121} \)
\(=\frac{81}{121} \)
Answer: A
gmatclubot
Re: (9^11 * 11^9)/(11^11 * 9^9) = [#permalink]
08 Nov 2021, 06:48
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