Explicație pas cu pas:
[tex]x = {4}^{29} = {( {2}^{2} )}^{29} = {2}^{2 \times 29} = {2}^{58} [/tex]
[tex]y = {8}^{19} = {( {2}^{3}) }^{19} = {2}^{3 \times 19} = {2}^{57} [/tex]
a) x > y
b)
[tex]m = \frac{x + y}{2} = \frac{ {2}^{58} + {2}^{57} }{ 2 } = \frac{ {2}^{57} \times (2 + 1) }{2} = \frac{ {2}^{57} \times 3}{2} = {2}^{56} \times 3[/tex]
