L is any integer other than a power of 10. M is any integer. Show that there is an integral power of L that begins with the sequence of digits given in M.

If we exclude leading zeroes, then the integer L, where L = 0, will have no integral power that begins with the sequence of digits given in M, such that M is any non-zero integer or 1.

All integral powers of 0, except where the exponent is itself 0, are 0. 0⁰, according to some is an "indeterminate form," but by others, it is, by convention, equal to 1.

Posted by Dej Mar on 2008-01-31 12:55:15