You can use any number - rational or otherwise - as an exponent.
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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.
The numbers called that are used in exponents can be called as a power of a number. The power or exponent can be positive , negative , zero .
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..
This exact question is on a puzzle worksheet over rational exponents used by teachers. The answer to the puzzle is Nicole Oresme.