Question

Sa se arate ca 15 la puterea 81< 65 la puterea 54
Oi

Answer 1

$15^{81}\,\,\text{ cu }\,\,65^{54}\Big|^{\frac{1}{27}}\\ \\ 15^{\frac{81}{27}}\,\,\text{ cu }\,\,65^{\frac{54}{27}}\\ \\ 15^{3}\,\,\text{ cu }\,\,65^{2}\\ \\ 3375 <4225\\ \\ \Rightarrow \boxed{15^{81}\,\,\text{ cu }\,\,65^{54}}$