Please talk about the n-th mantissa change of natural numbers.

The mantissa of the n power of 2 changes periodically with 4, that is, 2, 4, 8 and 6.

The n power of 3 changes periodically with 4, that is, 3, 9, 7, 1, 3, 9, 7,1;

The n power of 4 changes periodically with 2, which are 4, 6, 4 and 6 respectively;

The mantissa of the n power of 5 and the n power of 6 is unchanged;

The n power of 7 changes periodically with 4, which are 7, 9, 3, 1, 7, 9, 3,1respectively;

The n power of 8 changes periodically with 4, which are 8, 4, 2, 6, 8, 4, 2 and 6 respectively;

The n power of 9 changes periodically with 2, which are 9, 1, 9, 1 respectively.