Question

Comparati numerele $2^{90}$ cu $3^{54}$ .

Answer 1

[tex]\sf 2^{90} \boxed{}3^{54} \\ \\ 2^{5*18} \boxed{}3^{3*18} \\ \\ (2^{5})^{18} \boxed{}(3^3)^{18} \\ \\ 32^{18} \boxed{>}27^{18}[/tex]

Answer 2

2⁹⁰=(2⁵)¹⁸=32¹⁸

3⁵⁴=(3³)¹⁸=27¹⁸
observam ca avem puterile egale si atunci comparam bazele de unde rezulta ca 32>27 in final reiese ca 2⁹⁰>3⁵⁴