Question

Conpara fractiile 25^2 supra 9^5 si 27^3 supra 5^5

Answer 1

$\frac{25 {}^{2} }{ {9}^{5} } \square \frac{ {27}^{3} }{ {5}^{5} } \iff \frac{ ({5} {}^{2}) ^{2} }{( {3}^{2} ) {}^{5} } \square \frac{( {3}^{3} ) {}^{3} }{ {5}^{5} } \\ \\ \implies \frac{ {5}^{4} }{ {3}^{10} } \square \frac{ {3}^{9} }{ {5}^{5} } \iff \: \frac{1}{3} \square \frac{1}{5} \\ \\ \text{deci \: in \: caseta \: punem \: }\scriptsize\bold{\boxed{ < }}$