Question

Compară numerele a =16¹³si b=32 la puterea 10 justifica raspunsul urgebt dau coroanaaaaaaaaaaaaaaa​

Answer 1

Răspuns:

Explicație pas cu pas:

$a = 16^{13}=(2^{4} )^{13}=2^{4\cdot13}=\boxed{2^{52}}$

$b = 32^{10}=(2^{5} )^{10}=2^{5\cdot10}=\boxed{2^{50}}$

$2^{50}<2^{52} \Rightarrow 32^{10}<16^{13} \Rightarrow\boxed{~b~<~a~}$