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All the powers and exponents of 1 are 1.The powers and exponents of any of the other numbers up to 10 are equivalent to the all the positive numbers - rational and irrational.
You can use any number - rational or otherwise - as an exponent.
Like any other integer, 22 expressed as an exponent is 22^1. The prime factorization of 22 is 2 x 11. No exponents are required.
It is a sequence of numbers. That is all. The sequence could be arithmetic, geometric, harmonic, exponential or be defined by a rule that does not fit into any of these categories. It could even be random.
Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.