[tex] \frac{ {15}^{300} }{ {729}^{100} } = \frac{ {(3 \times 5)}^{300} }{ ({ {3}^{6} })^{100} } = \frac{ {3}^{300} \times {5}^{300} }{ {3}^{600} } = \frac{ {5}^{300} }{ {3}^{300} } = ({ \frac{5}{3} })^{300} > 1 \\ pentru \: ca \: \frac{5}{3} > 1 \: deci \: si \: ({ \frac{5}{3} })^{300} > 1[/tex]
