Genau richtig.

2 cubed = 2³ = 8
3 cubed = 3³ = 27

für n=2 benutzt man "the square of 3 is 9", ab n=3 eher "power", also "the 3rd power of 3 is 27"

At school, we always used to say "to the power of" for power above ²
So for example: 2³ = two to the power of three equals eight

² was "squared" -> 2² = two squared equals four