Learn Russian: Эти новые студенты работают здесь.

Это is used as a generic "this is" or for singular neuter nouns. Because we are specifically saying "these students" (plural), we must use the plural demonstrative pronoun, which is эти.

What is the rule for the adjective ending in новые?

For nominative plural adjectives, the standard ending is -ые, which we see here in новые (new). If the adjective's stem ended in a restricted letter like г, к, or х, spelling rules would force it to end in -ие instead.

Why does the plural noun студенты end in -ы instead of -и?

Masculine nouns that end in a hard consonant, like the т in студент, form their plural by adding -ы. You only use -и if the word ends in a soft sign, й, or a spelling-rule letter like г, к, or х.

How does the verb работают match the plural subject?

Since the subject is "these new students" (which equals "they" or они), the verb работать (to work) drops the -ть and takes the third-person plural ending -ют to become работают.