area of multibrot-sets

Are there any good estimates for the area of multibrot-sets (eg. z->z^5
+c)?
I'm doing a bit of research on that matter but found nothing up to now.
Currently I'm pixel-counting it myself but the values are far from being
precise.
Are there even estimates for the area of sets like z->z^-n+c? In this
case I think it would be more appropiate to count the escaping pixels but
my own efforts lead to very small values not anymore in the precision of
my program.
.

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