Learn Dutch: Je kunt verschillende producten ruilen omdat ze kapot zijn. - You can exchange several products because they are broken.

In this sentence, verschillende is used directly before the noun it describes (producten). You only add an -n to quantifying words (like sommigen, enkelen, or verschillenden) when they stand completely alone and refer to people. Because it is attached to a noun here, it just takes the standard -e adjective ending.

I thought verschillende meant "different". Why is it translated as "several"?

Verschillende can mean both "different" and "several" (or "various"). When used before a plural noun without setting up a direct comparison between things, it very often means "several". You rely on context to tell them apart, and here, exchanging "several products" makes perfect sense.

Why is the verb zijn pushed to the very end of the sentence?

Because of the word omdat (because). This is a subordinating conjunction, which introduces a dependent clause. The main rule for a dependent clause in Dutch is that the conjugated verb (in this case, zijn) must be kicked to the end of that clause.

Could I use wisselen instead of ruilen to mean "exchange" here?