Approximations of powers

This is a table of all approximations of powers that are powers themselves. Note that to be included in this table, the approximation must be a whole power greater than 1 (for example, you can't claim that 261 is an approximation of 52 = 25). The base of the approximation must also not be a power of the base of the power being approximated (for example, 38 = 6,561, and so does 94, but as 9 = 32, 94 can't be included as an approximation)