Răspuns:
a>b
Explicație pas cu pas:
[tex]a = 27^{32} = (3^{3})^{32} = 3^{3*32} = 3^{96}[/tex]
[tex]b=18^{36} =(2*9)^{36} =2^{36} *9^{36} =2^{36} *(3^{2} )^{36}=2^{36} *3 ^{2*36}=2^{36} *3 ^{72}[/tex]
a/b=3⁹⁶/(2³⁶·3⁷²)=3⁽⁹⁶⁻⁷²⁾/2³⁶=3²⁴/2³⁶=3¹²ˣ²/2¹²ˣ³=(3²)¹²/(2³)¹²=9¹²/8¹²=(9/8)¹²>1
=> a>b
