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Exponents are used to replace repeated factors. Prime numbers won't use exponents because they don't have repeated factors. To express the prime factorization of a particular composite number using exponents, just count. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72
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..
Archimedes is said to have invented exponents to express very large numbers. A passage from The Sand Reckoner is offered as evidence. To say that he invented exponents is a stretch of the facts; but he was aware of the concepts involved.
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
Exponents