Question

se x e y são números reais e 2^x=m/2 e 2^y=n/2,calcule 4^x+y
a)m.n
b)m/n
c)n/m
d)(mn/4)2

Answer 1

$2^x = \frac{m}{2} ===\ \textgreater \ 2^{x + 1} = m \\ \\ 2^y = \frac{n}{2} ===\ \textgreater \ 2^{y + 1} = n \\ \\ \\ \\ 4^{x + y} \\ 4^x.4^y \\ 2^{x + 1}.2^{y + 1} \\m.n$