Question

qual a metade de 4^19

Answer 1

$4^{19} = 4.4^{18}$

A metade disso:

$\dfrac{ \ 4.4^{18}}{2} \\ \\ \\ = 2.4^{18}$

Agora 4 = 2²

$2.(2^2)^{18} = 2.2^{36} = 2^{36+1} \boxed{=2^{37}}$

Answer 2

$\frac{1}{2}\cdot4^{19}=\\\\\frac{(2^2)^{19}}{2}=\\\\\frac{2^{38}}{2^1}=\\\\2^{38-1}=\\\\\boxed{2^{37}}$