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How is radical symbol related to fractional exponents?
Math
When adding numbers with fraction exponents do you add the exponents?
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
To convert an nth root notation to one that uses fractional exponents you change the index n to the exponent?
1/n
What are the fundamental laws of positive integral exponents?
Note that most of the laws for exponents are equally valid for negative, and fractional, exponents. In part, that is because negative and fractional exponents are DEFINED so that those laws continue being valid.Using "^" for power, and "*" for multiplication, some of the fundamental rules are: a^b * a^c = a^(b+c) a^b / a^c = a^(b-c) (a^b)^c = a^(bc) a^c * b^c = (ab)^c All of these are valid for any real exponent - including negative and fractional numbers.
When a negative exponent has no meanig but is introduced to complete the set of exponents?
It certainly has a meaning. It is only meaningless if you consider powers as repeated multiplication; but the "extended" definition, for negative and fractional exponents, makes a lot of sense, and it is regularly used in math and science.
