Mikrofonsuz bir sunum yapmak dinleyicileri yorabilir.

Mikrofonsuz means without a microphone.

It is built from:

• mikrofon = microphone
• -sız / -siz / -suz / -süz = a suffix meaning without, lacking

So:

• mikrofon → mikrofonsuz

The form is -suz here because of vowel harmony.

In neutral Turkish, when a noun has an adjective, bir usually comes after the adjective and before the noun:

• güzel bir ev = a beautiful house
• zor bir soru = a difficult question
• mikrofonsuz bir sunum = a presentation without a microphone

So mikrofonsuz bir sunum is the normal word order.

If you put bir before the adjective, it can sound marked, emphatic, or less neutral.

Yes, yapmak often means to do or to make, but Turkish very often uses noun + yapmak as a common expression for an action.

So:

• sunum = presentation
• sunum yapmak = to give / do a presentation

This is a very natural Turkish collocation.
English prefers give a presentation, but Turkish commonly says sunum yapmak.

Because the whole phrase mikrofonsuz bir sunum yapmak is being used as a noun-like idea:

• making / giving a presentation without a microphone

In Turkish, -mak / -mek forms can function like verbal nouns.
Here, the phrase is the subject of the sentence.

So the structure is:

• Mikrofonsuz bir sunum yapmak = making a presentation without a microphone
• dinleyicileri yorabilir = can tire the listeners

The subject is the entire phrase:

Mikrofonsuz bir sunum yapmak

That whole action is treated as one unit:
Making a presentation without a microphone

The rest of the sentence tells you what that action can do:

dinleyicileri yorabilir = can tire the listeners

Because dinleyicileri is the direct object of the verb yorabilir.

• dinleyiciler = listeners
• dinleyicileri = the listeners / specific listeners (as the object)

The ending -i here is the accusative case, which is often used for a specific or definite direct object.

So the sentence is saying that the action can tire the listeners.

Yes, in isolation, that form can be ambiguous.

Depending on context, dinleyicileri can sometimes be interpreted in different ways. But in this sentence, the most natural reading is:

• dinleyiciler-i = the listeners as a direct object

Why? Because the sentence structure strongly supports that reading:

• yorabilir = can tire
• something tires the listeners

So here it is understood as the object, not as a possessive form.

Yorabilir comes from the verb yormak, which means to tire or to make someone tired.

It breaks down like this:

• yor- = verb stem
• -abil- = can / may / might
• -ir = a common present-aorist ending

So yorabilir means:

• can tire
• may tire
• might tire

In this sentence, it gives a sense of possibility, not certainty.

So the idea is:
Making a presentation without a microphone might/can tire the listeners.

Because the subject is not dinleyiciler.
The subject is the infinitive phrase:

Mikrofonsuz bir sunum yapmak

That whole phrase is treated as a single subject, so the verb stays in the third person singular form:

• yorabilir

If the subject were actually dinleyiciler, then a plural verb form might make sense in some contexts.

Yes. This is a very normal Turkish word order.

A simplified pattern is:

• subject
• object
• verb

So here:

• Mikrofonsuz bir sunum yapmak = subject
• dinleyicileri = object
• yorabilir = verb

Turkish often puts the verb at the end, so this sentence follows a very typical pattern.

Yes, absolutely.

You can say:

Mikrofon olmadan bir sunum yapmak dinleyicileri yorabilir.

That also means making a presentation without a microphone can tire the listeners.

The difference is mostly stylistic:

• mikrofonsuz = a compact adjective, without a microphone
• mikrofon olmadan = literally without there being a microphone / without using a microphone

Both are natural, but mikrofonsuz bir sunum is shorter and more compact.