Yes, higher frequencies of electromagnetic waves, such as those in the visible light and radio wave spectrum, do carry more energy than lower frequencies. The energy of an electromagnetic wave is directly proportional to its frequency. This relationship is described by the equation E = hf, where E is the energy of the wave, h is Planck's constant (a fundamental constant in physics), and f is the frequency of the wave.
Since the frequency is in the denominator of the equation, higher frequencies correspond to higher energies. This means that, for example, blue light with a higher frequency than red light carries more energy per photon. Similarly, higher frequency radio waves carry more energy than lower frequency radio waves.
It's important to note that the energy of an electromagnetic wave is quantized in discrete packets called photons, and the energy of a single photon is directly proportional to its frequency. However, the overall energy carried by a beam of electromagnetic waves is determined by the intensity or the number of photons present.