Question

A metade de $4^{8}$ + $8^{4}$ é:
a) 320
b) $2^{8}$ + $4^{4}$
c) 17 . $2^{12}$
d) $2^{8}$ + $2^{6}$
e) 17 . $2^{11}$

Answer 1

$\frac{4^8+8^4}{2} = \frac{2^{16}+2^{12}}{2} = \frac{2^{12}*2^{4}+2^{12}}{2} = \frac{2^{12}(2^4+1)}{2} =2^{11}(16+1)=2^{11}*17$

$\boxed{e)\ 2^{11}*17}$