Я подам заявку.

I

Breakdown of Я подам заявку.

• заявка: the application; formal request
• подати: to submit a document

Questions & Answers about Я подам заявку.

What form is подам?

Подам is the 1st person singular future form of the verb подати.

• подати = a perfective verb, meaning something like to submit / to hand in
• подам = I will submit

The ending -ам here tells you it is I.

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Why is the subject Я included? Can Ukrainian drop it?

Yes, Ukrainian can often omit the subject pronoun, because the verb ending already shows the person.

So both of these are natural:

• Я подам заявку.
• Подам заявку.

Including Я can add a little emphasis, contrast, or clarity:

• Я подам заявку, а ти — ні.
  I will submit the application, but you won’t.

So Я is not wrong at all; it is just not always necessary.

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Why is заявку not заявка?