Value: FTL-capable spacefaring
Confidence: InformedGuess
Warp drive, replicators, transporters, force fields.
Value: 1
Min: 0.9
Max: 1.1
Confidence: CalculatedGuess
Assuming 100 billion people and an average of 100 kW power consumption per person which is a wild guess.
100 kW is 5-10 times early 21st century Earth, because "future".
Disregarding the fact that the Federation is a post-scarcity society with ubiquitous replicators.
If in fact these are universal assemblers then there must be some advanced tech that mitigates heat dissipation. And we do not hope they make the matter from energy. In this case we would be off the scale because there would be not only megawatts of molecular bond recombination energies but also nuclear war like energies in every private kitchen.
Also warp drive might take a lot of energy not counted here.
Value: 150
Min: 100
Max: 200
Confidence: Canon
References:
Though Kirk states in 2267 that humanity was on "a thousand planets and spreading out", we'll go with a later quote from the franchise.
Value: 100e9
Min: 30e9
Max: 1000e9
Confidence: InformedGuess
A billion per planet sounds small considering the Earth, but there are also less densely populated planets and not every planet is the home of a major species.
Value: 10
Confidence: InformedGuess
TL 10 Matter Mastery. Replicators, transporters, holographic matter (holodecks). Hardest tech: transporters, i.e. complete matter disassembly, quantum state transfer, and molecular-precision reassembly at a distance. Replicators convert energy to any desired matter configuration on demand. Both are matter-energy conversion well beyond simple FTL.
Value: 10
Confidence: InformedGuess
Warp 9.9+, replicators, transporters, force fields, phasers. 150+ member worlds. Mature FTL empire. Class 10 Interstellar Dominion.
The United Federation of Planets is the central interstellar government in the Star Trek universe. By 2373, it has grown to over 150 member worlds spread across 8,000 light-years. The Federation is a major galactic power, and at various times has been at war with the Klingons, the Romulans, and the Dominion.