When did Pedro Alvares Cabral explore?

In the early 1300's CE.

Answer.

If Pedro Alvares Cabral was exploring in the early 1300's, he must have had access to the Tardis of Dr Who fame, as he wasn't even born until either 1467 or 68.

He explored from 1500 to 1502, when he incurred the wrath of Manuel 1.