Final answer:
The tool technology associated with the first H. erectus/ergaster out of Africa is the Acheulean industry, characterized by hand axes.
Step-by-step explanation:
The tool technology associated with the first H. erectus/ergaster out of Africa is the Acheulean industry. Homo ergaster (early H. erectus) continued to use Oldowan stone tools, but they also began to construct more complex tools known as the Acheulean industry. These tools have been found in Africa, Europe, and the Middle East and are characterized by hand axes.