False.
People exposed an average of 15.000 particles of radiation daily from food and medical procedres. It does not enough to cause cancer.
Radiation from nuclear power plant form the other hand, could rich million billion (quintillion digit)
Runnning a nuclear power plant is very risky. Exposure to radiation could occur during operational activities, Accidents (Like in Cernobyl , where a whole city become isolated because of nuclear accident), during transport of materials, or during the waste dumping