Question

Comparati puterile :
a)9^24 cu 27^16
b)2^155 cu 3^93
Repedee VA ROOOG

Answer 1

Răspuns:

$a) {9}^{24} \: \: = \: \: {27}^{16} \\ {9}^{24} = ( {3}^{2} ) {}^{24} = {3}^{48}\\ {27}^{16} = ( {3}^{3} ) {}^{16} = {3}^{48} \\ \\ b) {2}^{155} \: \: > \: \: {3}^{93} \\ 155 = 5 \times 31 \\ 93 = 3 \times 31 \\ {2}^{155} = ( {2}^{5} ) {}^{31} = {32}^{31} \\ {3}^{93} = ( {3}^{3} ) {}^{31} = {27}^{31}$

sper că te-am ajutat!