Question

O valor da expressão 2^2015 + 2^2018/ 2^2011 + 2^2012 é igual a:
a) 8
b) 16
c) 32
d) 48
e) 60

Answer 1

$\mathsf{\dfrac{2^{2015}+2^{2018}}{2^{2011}+2^{2012}}=\dfrac{2^{2015}(1+2^{3})}{2^{2011}(1+2)}} \\ \mathsf{\dfrac{2^{2015}+2^{2018}}{2^{2011}+2^{2012}}=2^{2015 - 2011}. \dfrac{9}{3} = {2}^{4}.3 } \\ = \mathsf{16.3 = 48}$