Hello, you have to prepare a POWER, the document is made at the CONSULATE and has a cost of $ 50 dollars (that cost me 5 years ago) and you send it to Ecuador and there they make you the exit permit in a Notary in Quito
You must approach the consulate with your ID or passport and request a power of attorney to authorize the departure of your minor children from the country.
You would have to go through the consulate, the safest thing is that you have to make a power in a notary and certify it in the consulate but for more security you arrive
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