What power of the government appoints judges

The President has the power to appoint federal judges, ambassadors, and other "principal officers” of the United States, subject to Senate confirmation of such appointments.

Explanation:

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Earth's Moon isn't the largest — not by a long shot. The largest planet boasts the largest moon as well, with Jupiter's Ganymede coming in at over 5,200 kilometers in diameter. That's a full ~67% larger than Mercury, the smallest planet.