Why does the del operator remove the exponential in a plane wave?

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baby_1
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Hello
question is:
As you see when we do del operator on A vector filed in below example it removes exponential form at the end.why does it remove exponential form finally?
Derivation of the divergence of a plane-wave vector field A = A0 e^(i(k.r - wt)): partial derivatives sum to i k . A, with the exponential factor carried through each term.
 
It doesn't. The exponential is part of ##\vec{A}##.
 
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