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Pana la 9:40 va rog.Multumesc!


Pana La 940 Va RogMultumesc class=

Răspuns :

Bună ziua! Eu propun această rezolvare !

[tex] {(( \frac{3}{5}) }^{6} )^{10} = (( \frac{9}{25} )^{5} )^{n} \\ ( \frac{3}{5} ) ^{60} = ( \frac{3}{5} )^{10n} \\ \\ 60 = 10n \\ n = 6[/tex]

Salut,

[tex][( \frac{3}{6} ) {}^{6} ] {}^{10} = [( \frac{9}{25} ) {}^{5} ] {}^{n} \\ [/tex]

[tex]( \frac{3}{5} ) {}^{60} = [( \frac{3 {}^{2} }{5 {}^{2} } ) {}^{5} ] {}^{n} \\ [/tex]

[tex]( \frac{3}{5} ) {}^{60} = [ (\frac{3}{5} ) {}^{10} ] {}^{n} \\ [/tex]

[tex]( \frac{3}{5} ) {}^{60} =( \frac{3}{5} ) {}^{10n} < = > 60 = 10n \\ [/tex]

[tex]10n = 60 \: = > \: n = \frac{60}{10} = 6 \\ [/tex]