Question

doar al treilea exercițiu ​

Answer 1

Explicație pas cu pas:

$a = {7}^{41} = {7}^{42 - 1} = {7}^{42} \div 7 = {\left( {7}^{3} \right)}^{14} \div 7 \\ = {343}^{14} \div 7$

$b = {2}^{42} \times {43}^{14} = {2}^{3 \times 14} \times {43}^{14} = {8}^{14} \times {43}^{14} \\ = {\left( 8 \times 43\right)}^{14} = {344}^{14}$

$\implies a < b$