When is it least necessary to wear goggles?

Wearing goggles is least necessary when scraping rubber insulation from a wire because this task typically involves minimal risk of flying debris or hazardous particles that could injure the eyes. The action of scraping insulation does not create sharp fragments or sparks, making it a lower-risk activity regarding eye safety compared to the other options presented.

In contrast, working with power tools, soldering connections, and cutting metal all carry significant risks for eye injuries. Power tools can produce flying debris or generate sparks that could seriously harm the eyes. Soldering can also release small droplets of molten solder, which can be particularly dangerous. Similarly, cutting metal often results in metal shavings and sparks, which pose considerable hazards to the eyes. Therefore, while eye protection is generally important in various types of work, it is least critical when scraping rubber insulation compared to the other listed activities.