Έχοντας βάλει το ρούτερ στο καινούριο πολύπριζο, βρήκαμε καλύτερο σήμα αμέσως.

It introduces an action that happened before the main action in the sentence.

So:

• Έχοντας βάλει... = having put... / after putting...
• βρήκαμε... = the main action, we found / we got

This kind of opening phrase is very common in Greek for giving background or showing a completed earlier action.

So the structure is roughly:

• First: we put the router into the new power strip
• Then: we immediately got a better signal

Because Έχοντας βάλει emphasizes that the action was completed first.

Compare the two:

• βάζοντας = putting / while putting
  This sounds more like an ongoing or simultaneous action.
• έχοντας βάλει = having put / after putting
  This clearly shows completion before the next action.

In this sentence, the speaker wants to say that once the router had been placed in the new power strip, the better signal came right away. So έχοντας βάλει is the better choice.

Yes. It is a kind of adverbial participial expression.

More simply, you can think of it as a compact way to say:

• Αφού βάλαμε το ρούτερ στο καινούριο πολύπριζο, ...
• After we put the router in the new power strip, ...

So instead of using a full clause with αφού, Greek often uses this shorter participial structure.

It is especially common in written or semi-formal Greek, though it also appears in everyday language.

The subject is understood to be the same subject as the main verb: we.

That is because the main verb is:

• βρήκαμε = we found

So the sentence means that we are the ones who put the router there, and we are also the ones who found the better signal.

This is an important point: in Greek, a phrase like έχοντας βάλει... normally refers to the same subject as the main clause unless context makes something else very clear.

Because the sentence refers to a completed event: we found / we got a better signal.

The Greek aorist is very often used for single completed actions in the past. Here, the discovery or improvement in signal is seen as a finished event that happened right after the router was moved.

So:

• βρίσκουμε = we find / we are finding
• βρήκαμε = we found

The aorist fits naturally here because the sentence tells a sequence of completed actions.

ρούτερ is a loanword from English router.

In Modern Greek, many technology words are borrowed this way. ρούτερ is usually treated as a neuter noun, which is why it takes the article:

• το ρούτερ

Like many recent loanwords, it is often indeclinable, meaning its form does not change much across cases. The article usually shows the grammatical role.

So here:

• το ρούτερ = the router

στο is a contraction of:

• σε + το = στο

So:

• σε το καινούριο πολύπριζο becomes
• στο καινούριο πολύπριζο

This is extremely common in Greek:

• στο = in / into / at the
• στη = in / into / at the
• στον = in / into / at the

In this sentence, στο καινούριο πολύπριζο means something like into / in the new power strip depending on how you interpret the context.

Because καινούριο has to agree with πολύπριζο.

Here:

• πολύπριζο is a neuter singular noun
• so the adjective must also be neuter singular
• therefore: καινούριο πολύπριζο

This is standard Greek adjective agreement: adjectives match the noun in:

• gender
• number
• case

So if the noun changed, the adjective would change too.

Literally, it is made up of:

• πολύ- = many / multi-
• πρίζα = socket / outlet

So πολύπριζο is basically a multi-socket power strip or extension block.

This is a very useful everyday Greek word.

Because Greek often leaves out the article when talking about something indefinite.

Here, καλύτερο σήμα means:

• a better signal
• not the better signal

So no article is needed.

Also:

• καλύτερο is the comparative form of καλό / καλός in this context
• it agrees with σήμα, which is neuter singular

So:

• σήμα = signal
• καλύτερο σήμα = better signal

Because it agrees with σήμα.

Here:

• σήμα is neuter singular
• so the adjective/comparative must also be neuter singular
• therefore: καλύτερο

You can think of it as the neuter singular form of better.

Examples of agreement:

• καλύτερος ήχος = better sound (masculine)
• καλύτερη εικόνα = better picture/image (feminine)
• καλύτερο σήμα = better signal (neuter)

Yes, it is natural Greek.

Greek uses βρίσκω in contexts where English might say:

• find
• get
• pick up
• receive

So with σήμα, βρήκαμε καλύτερο σήμα can mean something like:

• we found a better signal
• we got a better signal
• we picked up a better signal

The exact English wording can vary, but the Greek is perfectly natural.

It modifies the main action:

• βρήκαμε καλύτερο σήμα αμέσως

It means the better signal was found immediately, right after the earlier action.

So αμέσως tells you how quickly the result happened.

It does not really describe the act of putting the router in the power strip; it describes how soon the better signal appeared.

Because the opening phrase Έχοντας βάλει το ρούτερ στο καινούριο πολύπριζο is an introductory participial phrase.

The comma helps separate:

• the background action at the beginning from
• the main clause that follows

This is similar to English punctuation in sentences like:

• Having moved the router, we got a better signal immediately.

So the comma is both natural and helpful.

Yes. A very natural alternative would be:

• Αφού βάλαμε το ρούτερ στο καινούριο πολύπριζο, βρήκαμε καλύτερο σήμα αμέσως.

That means essentially the same thing.

The difference is mainly stylistic:

• Αφού βάλαμε... is often more direct and conversational
• Έχοντας βάλει... is a bit more compact and slightly more formal or narrative in tone

Both are correct.

In many contexts, yes, they are very close.

Both can mean new, but there can be small differences in feel:

• καινούριος often emphasizes newness in the everyday sense
• νέος can also mean new, but it may sometimes sound a bit broader or more neutral depending on context

In this sentence, καινούριο πολύπριζο sounds very natural and idiomatic for the new power strip.

Yes, Greek word order is fairly flexible, although not every version sounds equally natural.

The given order is natural because it presents:

1. the earlier action
2. then the result

So:

• Έχοντας βάλει το ρούτερ στο καινούριο πολύπριζο, βρήκαμε καλύτερο σήμα αμέσως.

This is a clear and well-structured sentence.

You could move αμέσως earlier for emphasis, for example:

• Έχοντας βάλει το ρούτερ στο καινούριο πολύπριζο, αμέσως βρήκαμε καλύτερο σήμα.

That is also possible, but the original sounds very natural.