упростите 9^(n-1)/(3^n+3^(n-1))^2. Created by sobakazabiyaka. algebra-ru

(3^n+3^(n-1))^2...

June 2021 1 45 Report

упростите
9^(n-1)/(3^n+3^(n-1))^2

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tamarabernukho $\frac{ 9^{n-1} }{ (3^n+ 3^{n-1} )^{2} } = \frac{9^n* 9^{-1} }{ 3^{2n} +2*3^n* 3^{n-1}+ 3^{2n-2} } =\\ \\$
$\frac{9^n* \frac{1}{9} }{9^n+ \frac{2}{3}*9^n+ \frac{1}{9} *9^n } = \frac{9^n}{9*9^n+6*9^n+9^n} = \frac{1}{16 \\ }$

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