"I am committed. I am staying in IndyCar, simple as that," Power said.
"I see how committed (IndyCar CEO) Randy Bernard is to making it safer, and that gives me confidence."
Sadly, Wheldon had helped develop the 2012 Dallara IndyCar, which had a far greater emphasis on safety, but died before the changes were introduced.
Next year's machine has several advanced safety features including fairings behind the rear wheels, designed to prevent cars becoming airborne, which happened to Wheldon, Power and Pippa Mann in the Las Vegas crash.
Apart from Power, Mann suffered severe burns to her right hand and JR Hildebrand severely bruised his sternum in the accident.
Calls for a radical overhaul of safety in the sport came immediately after Wheldon's death in the horrific 15-car crash on October 16.
Bernard said it was important to know everything that went wrong in the crash.
"We must continue to move forward with a thorough investigation," he said.
"Fortunately, that has already begun and we have the protocols in place to get this done.
"This was a tragic accident, and IndyCar needs to understand everything possible about it."
All official data from the incident will be handed over to an independent, third-party committee of inquiry.
Key among the concerns are safety-fencing around the oval and the number of cars in the race.
- AAP