Answer
(a)
$f(u+v)=f(u)\cdot f(v)$
(b)
$f(2x)=[f(x)]^2$
Work Step by Step
(a)
$f(u+v)=a^{u+v}=a^ua^v=f(u)\cdot f(v)$
(b)
$f(2x)=a^{2x}=(a^x)^2=[f(x)]^2$
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