Question

Comparati numerele
 

a) 3 la puterea 45 si 2 la puterea 30



b) 3 la puterea 55 si 2 la puterea 88


ФωπΔβαα

Answer 1

a) $3^{45} = (3^{3}) ^{15} = 27^{15} ; 2^{30}= (2^{2}) ^{15}= 4^{15}$⇒$27^{15}$>$4^{15}$⇒$3^{45}$>$2^{30}$
b) $3^{55} = (3^{5}) ^{11} = 243^{11}; 2^{88} = (2^{8}) ^{11}= 256^{11}$⇒$256^{11}$>$243^{11}$⇒$2^{88}$>$3^{55}$