Final answer:
Gamma rays have a much higher frequency than radio waves, characterized by their short wavelengths in contrast to the long wavelengths of radio waves.
Step-by-step explanation:
Based on the diagram of the electromagnetic spectrum and the properties of waves, one can conclude that gamma rays have a higher frequency than radio waves.
Gamma rays fall at the extreme end of the electromagnetic spectrum, possessing very short wavelengths (on the order of 10⁻¹² meters) in contrast to the long wavelengths of radio waves (which can be up to hundreds of meters). According to the relationship between wavelength and frequency (where higher frequency equates to shorter wavelength), gamma rays must have a much higher frequency than radio waves. The frequency of gamma rays is about 10²⁰ Hz, significantly higher than the approximately 10⁸ Hz frequency of radio waves.