Answer
$f\left( 2\right) =16;$
$f\left( -2\right) =\dfrac {1}{16}$
Work Step by Step
$f\left( x\right) =4^{x}\Rightarrow $
$f\left( 2\right) =4^{2}=16;$
$f\left( -2\right) =4^{-2}=\dfrac {1}{16}$
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