Question

a metade do numero 2^13 + 4^11 e igual a quanto

Answer 1

       $\frac{ 2^{13} + 4^{11} }{2} \\ \\ = \frac{ 2^{13} + (2^{2}) ^{11} }{2} \\ \\ = \frac{ 2^{13} + 2^{22} }{2} \\ \\ =\frac{2( 2^{12}+2 ^{21} )}{2}$

     = $2^{12} + 2^{21}$    RESULTADO FINAL

Answer 2

2^13 + 4^11 = 
2^13 + 2^(2.11) = 
2^13 + 2^22 = 

A metade será:
(2^13 + 2^22)/2 = 
2^(13 - 1) + 2^(22 - 1) =
2^12 + 2^21 =
2^12 + 2^12.2^9 =
2^12.(1 + 2^9) =
4096.(1 + 512) = 
4096.513 = 
2101248.