Absolutely. Really, when you're putting a power as an extra onto another power, you're making a new power with both effects, and you can use whatever extras are appropriate.
In other words, it may help you to think of the power like this:
Radiation Power
- Energy Control (radiation)
- Flight (stunt: super-flight)
The annual's got a more in-depth view of the power system, but the book is overall very Freedom City-heavy, so it's less useful to folks like me who don't use the FC setting.
J