This is the 15059th most frequent Russian word.
позволяйте
"Allow" or "permit" (imperative, formal/plural).
Here, 'позволяйте' is used to gently urge or encourage someone (the parents or guardians) to give permission or grant freedom in an act of advice.
Позволяйте детям мечтать и развиваться свободно.
Allow children to dream and develop freely.
'Позволяйте' in this sentence is used in a prohibitive advice, emphasizing restraint from permitting something undesirable.
Не позволяйте своим страхам управлять вашей жизнью.
Do not allow your fears to control your life.
The word 'позволяйте' here is used in the context of self-care, telling someone to give themselves permission to do something beneficial.