* One octave above 300 Hz:
The frequency of a note one octave above 300 Hz is twice the frequency of 300 Hz. Therefore, the frequency of the note one octave above 300 Hz is:
$$2 \times 300 \text{ Hz} = 600 \text{ Hz}$$
* One octave below 300 Hz:
The frequency of a note one octave below 300 Hz is half the frequency of 300 Hz. Therefore, the frequency of the note one octave below 300 Hz is:
$$\frac{300 \text{ Hz}}{2} = 150 \text{ Hz}$$
Therefore, the frequencies of a 300 Hz note one octave above and below are 600 Hz and 150 Hz, respectively.