Does a string of 20 letters followed by an exclamation point match /^\w{6,20}$/

In other words, what will this print: 

$s = "xxxxxxxxxxxxxxxxxxxx!";
if($s =~ /^\w{6,20}$/){print "it's a match";}
else{print "no match";}

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I think there is no match because the ^ and $ make sure that the string contains ONLY between 6 and 20 alphanumerics (and underscores) and nothing else. Am I right?

Update from one of my friends: weirdness... when i try from the cmdline using this (perl -e 'print "yes\n" if (q{a} x 20 . q{!} =~ m/^\w{6,20}$/);', it appears to, but not with this: perl -e '$c = q{a} x 20 . q{!}; print "yes\n" if ($c =~ m/^\w{6,20}$/);'

Edit: g0n - code tags

In reply to another question on a string of 20 letters by keiusui

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