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- Extending exponentiation to reals 2 answers
What does it mean by a^b in real number system? How is it defined mathematically?
It is clear in case of exponent being an integer.
i.e., a real number a is multiplied b times where b belongs to Z
If b is a rational..say b=p/q, then a^b can be interpreted as a^(1/q) multiplied p times.
But how is it defined when b is irrational?