Question

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

Answer 1

$a)x = {2}^{39} + {2}^{41}$

$y = {2}^{40} + {2}^{40}$

$y = 2 \times {2}^{40}$

$y = {2}^{1 + 40}$

$y = {2}^{41}$

$= > x > y$

$b)a = {3}^{4} \times {11}^{42}$

$b = {27}^{13} \times {121}^{21}$

$b = {( {3}^{3} )}^{13} \times { ({11}^{2}) }^{21}$

$b = {3}^{3 \times 13} \times {11}^{2 \times 21}$

$b = {3}^{39} \times {11}^{42}$

$= > a < b$