[tex] \frac{3^{n+1} -3^{n}}{15^{n+1} } : \frac{3^{-n} }{5 ^{n} } [/tex]. Created by Dakileno. algebra-ru

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xnasika $\frac{ 3^{n*}(3-1) }{ 15^{n}*15 } : \frac{1}{ 3^{n}* 5^{n}} = \frac{ 3^{n} *2}{ 15^{n} *15} : \frac{1}{ 15^{n} } = \frac{ 3^{n} *2* 15^{n} }{ 15^{n} *15} = 3^{n} * \frac{2}{15}$

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[ (3^n*3-3^n) / (15^n*15) ] : 1/3^n/5^n= [ (3^n*2) / (15^n*15) ]*15^n = (15^n*3^n*2) / 15^n*15= 3^n*2 / 15

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