ABSTRACT
Accordingly, the five rules of exponents given above
(for integers) are also valid if m and n are fractions,
provided a and b are positive.
4. Irrational Exponents
If an exponent is irrational, e.g., 2, the quantity, such as
a 2, is the limit of the sequence a a a1 4 1 41 1 414. . ., , , . . . .