W zamrażarce mam mrożone warzywa, więc szybki posiłek robię bez wychodzenia z domu.

Because w means in here, and when w expresses location, the noun usually goes into the locative case.

• dictionary form: zamrażarka = freezer
• locative singular: zamrażarce

So:

• w zamrażarce = in the freezer

This is a very common pattern:

• w domu = in the house / at home
• w lodówce = in the fridge
• w szkole = at school

Polish word order is much more flexible than English word order. Starting with W zamrażarce puts the location first and sets the scene.

So this sentence is roughly:

• In the freezer, I have frozen vegetables...

A more neutral order would also be possible:

• Mam mrożone warzywa w zamrażarce...

Both are correct, but the original version emphasizes where the vegetables are.

Because in Polish, subject pronouns are often omitted when the verb ending already shows who is doing the action.

• mam = I have
• robię = I make / I’m making

The -m in mam and the -ę in robię already tell you the subject is I, so ja is not necessary.

You would add ja only for emphasis or contrast:

• Ja mam mrożone warzywa, a on nie.
  I have frozen vegetables, but he doesn’t.

Mrożone means frozen.

It is an adjective agreeing with warzywa (vegetables), so its form depends on the noun’s gender, number, and case.

Here:

• warzywa is plural
• it is not masculine personal
• the adjective therefore takes the plural ending -e

So:

• mrożone warzywa = frozen vegetables

Compare:

• mrożona pizza = frozen pizza
• mrożony groszek = frozen peas
• mrożone warzywa = frozen vegetables

Because warzywo is a neuter noun, and its plural is warzywa.

• singular: warzywo = a vegetable
• plural: warzywa = vegetables

This is a normal pattern for many neuter nouns:

• jajko → jajka
• okno → okna
• warzywo → warzywa

So mrożone warzywa is simply the regular plural phrase for frozen vegetables.

Because szybki posiłek is the direct object of robię, so it is in the accusative case. But here’s the important part:

posiłek is a masculine inanimate noun, and in the singular, masculine inanimate nouns usually have the same form in nominative and accusative.

So:

• nominative: szybki posiłek
• accusative: szybki posiłek

That is why it looks unchanged.

Compare this with a masculine animate noun, where accusative changes:

• widzę dobrego psa = I see a good dog

But with posiłek (inanimate), no visible change:

• robię szybki posiłek = I make a quick meal

This is about aspect.

• robię = imperfective
• zrobię = perfective

In Polish:

• imperfective present can describe habitual or general actions
• perfective usually does not have a true present meaning; its present-looking form often refers to the future

So:

• robię = I make / I’m making / I tend to make
• zrobię = I will make

In this sentence, the speaker is describing a general, practical situation: because they have frozen vegetables, they can make a quick meal without leaving home. That is why robię is the natural choice.

Więc means so, therefore, or thus.

It connects the first idea to the result:

• W zamrażarce mam mrożone warzywa, więc...
• I have frozen vegetables in the freezer, so...

It shows consequence:

• I have frozen vegetables
• therefore / so I can make a quick meal

Also, the comma before więc is normal Polish punctuation.

After the preposition bez (without), Polish uses the genitive case. An infinitive does not fit there, so Polish often uses a verbal noun instead.

• wychodzenie = leaving / going out
• genitive after bez: wychodzenia

So:

• bez wychodzenia = without leaving / without going out

This is a very common structure:

• bez problemu = without a problem
• bez czekania = without waiting
• bez wychodzenia z domu = without leaving home

It is a verbal noun formed from the verb wychodzić (to go out / to leave).

So:

• wychodzić = to leave, to go out
• wychodzenie = leaving, going out
• wychodzenia = genitive form of that verbal noun

Polish often uses these noun-like forms after prepositions. In English we often use an -ing form, and that is often a good way to think about it:

• bez wychodzenia ≈ without leaving

Domu is the genitive singular of dom.

• dom = house / home
• domu = of the house / from the house, depending on context

Here it appears after z, which means from / out of when talking about movement away from something. The verb wychodzić z domu literally means:

• to leave the house / to go out of the house

So:

• bez wychodzenia z domu = without leaving home

In this sentence, it really means without leaving home.

Literally, wychodzić z domu is to go out of the house / to leave the house. In natural English, we usually translate it more smoothly as:

• without leaving home

So the Polish is a bit more literal than the usual English phrasing, but the meaning is exactly what you would expect.

Not in the same structure.

• w domu = at home / in the house
• z domu = from home / out of the house

Because the phrase is based on wychodzić z domu (to leave home), it needs z domu, not w domu.

For example:

• Jestem w domu. = I am at home.
• Wychodzę z domu. = I am leaving home.

So in the original sentence, z domu is the correct choice because it depends on wychodzenia = leaving.