Question

8.2^155 comparat cu 3^93​

Answer 1

2¹⁵⁵=(2⁵)³¹=32³¹

3⁹³=(3³)³¹=27³¹

2¹⁵⁵>3⁹³

Answer 2

Explicație pas cu pas:

${2}^{155} = {2}^{5 \cdot 31} = {( {2}^{5} )}^{31} = {32}^{31}$

${3}^{93} = {3}^{3 \cdot 31} = {( {3}^{3} )}^{31} = {27}^{31}$

$32 > 27 \implies {32}^{31} > {27}^{31} \\ \implies {2}^{155} > {3}^{93}$