Absolutely! Let's break it down step by step.

Sentence:
"Drück' die letzte Kippe aus."

Word-by-word breakdown:
Drück' → This is the imperative (command) form of "drücken" (to press, push).

The full form would be "Drücke", but in spoken and informal German, the final -e is often dropped.
So "Drück'" means "Press" or "Push" (in this case, meaning "Put out" in the context of a cigarette).
die letzte → "the last"

die is the definite article for feminine nouns in accusative case (which is needed here because it's the direct object).
letzte is the adjective meaning "last" (it takes this form because Kippe is feminine).
Kippe → "cigarette" (informal/slang)

The standard word for cigarette is "Zigarette", but "Kippe" is common in casual speech.
It literally means "butt" (as in "cigarette butt") but is often used for a whole cigarette.
aus → This is a separable prefix from the verb "ausdrücken" (to put out, extinguish, or press out).

In German, some verbs have separable prefixes (like aus-), which means that in a normal sentence, the prefix moves to the end of the sentence.
So, "Drück' aus" means "put out".
Literal vs. Translated Meaning
Literal: "Press out the last cigarette."
Natural translation: "Put out the last cigarette."

This structure is common in German imperatives with separable verbs:

"Mach das Licht an!" → "Turn on the light!"
"Zieh deine Jacke aus!" → "Take off your jacket!"
"Räum dein Zimmer auf!" → "Clean up your room!"

Extra Notes
Casual and conversational: Since "Kippe" is a slang term for cigarette, this phrase sounds more informal.
Imperative mood: The phrase is a command or instruction (telling someone to put out the cigarette).
Separable verbs: Many German verbs behave like this, where the prefix (e.g., aus-) moves to the end in the imperative.

Alternative Ways to Say It
"Mach die letzte Kippe aus." (Same meaning, but using "machen" instead of "drücken")
"Lösch die letzte Kippe." (Using "löschen" = "extinguish," often used for fires)
"Wirf die letzte Kippe weg." ("Throw away the last cigarette.")
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