50^n-1...

pesyakov @pesyakov

August 2022 1 12 Report

Сократите дробь 2^n+2*5^2n-1/50^n-1

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dtnth

Verified answer

$\frac{2^{n+2}*5^{2n-1}}{50^{n-1}}=\\\\\frac{2^n*2^2*5^{2n}*50}{50^n*5}=\\\\\frac{2^n*(5^2)^n*4*10}{(25*2)^n}=\\\\\frac{2^n*25^n*40}{25^n*2^n}=40$

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