comparati a) x=2^39+2^41 si y=2^40+2^40 b)a=3^4x11^42 si b=27^13x121^21

[tex]a)x = {2}^{39} + {2}^{41} [/tex]

[tex]y = {2}^{40} + {2}^{40} [/tex]

[tex]y = 2 \times {2}^{40} [/tex]

[tex]y = {2}^{1 + 40} [/tex]

[tex]y = {2}^{41} [/tex]

[tex] = > x > y[/tex]

[tex]b)a = {3}^{4} \times {11}^{42} [/tex]

[tex]b = {27}^{13} \times {121}^{21} [/tex]

[tex]b = {( {3}^{3} )}^{13} \times { ({11}^{2}) }^{21} [/tex]

[tex]b = {3}^{3 \times 13} \times {11}^{2 \times 21} [/tex]

[tex]b = {3}^{39} \times {11}^{42} [/tex]

[tex] = > a < b[/tex]