C15: from Latin exportāre to carry away, from portāre to carry
Word Origin and History for export
v.
by 1610s; perhaps from late 15c., from Latin exportare "to carry out, send away," from ex- "away" (see ex-) + portare "carry" (see port (n.1)). The sense of "send out (commodities) from one country to another" is first recorded in English 1660s. The noun is from 1680s.