Under the Compromise of 1850, the Utah Territory and New Mexico Territory were given "Popular Sovereignty" when it came to the issue of slavery. What does popular sovereignty mean in this context?

To decide for themselves whether to become a slave state or a free state.

Explanation:

Generally, popular sovereignty is a term that describes the tenet in which a state, nation, or country's power is defined and maintained by the people of that particular place.

Hence, in this case, since Compromise 1850 is about the issue of slave or free state in the United States. The meaning of Popular Sovereignty here simply means that the Utah Territory and New Mexico Territory were given the option "To decide for themselves whether to become a slave state or a free state."

these the citzens and goverment come to terms some of the amendments gave the states more power then the goverment and some protocted americans rights