
Summary
 R
From the beginning the base of the exponent could be any known number. However the exponent was a natural number greater than 1. Thereafter 1, fractions, 0, and negative numbers were allowed to be exponents in order.
http://qindex.info/d.php?c=5216#5217


3 Irrational Number
 R
According to Pythagoras' theorem the diagonal length of a square with each side measuring one unit is the square root of 2.
The assumption that square root of 2 could be expressed as a ratio of two integers deduces a contradiction.
http://qindex.info/d.php?c=5216#5147

