Learn Turkish: Ağaçtaki kuş bize bakabilir. - The bird on the tree might look at us.

The suffix combination -abilir (verb root + -abil + aorist -ir) is used for both physical ability ("can") and probability ("might/may"). Context is key here! Since a bird naturally has the ability to look, the speaker is expressing the epistemic possibility that it might direct its gaze at us, rather than confirming its physical capability to see.

Break down the word ağaçtaki for me. Why is the -ki suffix used here?

It combines the word ağaç (tree), the locative suffix -ta (in/on), and the relative suffix -ki (the one which is). You use -ki to turn a location into an adjective that describes a noun. So, ağaçtaki kuş literally translates to "the bird which is on the tree."

Why is it bize instead of just the direct object bizi?

The verb bakmak (to look) requires the dative case to show the direction of the gaze. While in English we look at something, in Turkish you look to or towards something. Therefore, biz (we) takes the dative ending -e to become bize (to us).

Why does the locative suffix on ağaç start with a "t" (-ta) instead of a "d" (-da)?