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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..
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
The prime factorization of 345 is 3 * 5 * 23. Technically, none of these have exponents, but you could argue (and quite correctly) that they are 31 * 51 * 231. Either way, you have 1) no numbers with exponents, or 2) three numbers with exponents, so the answer is false.
Add the exponents