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How are the laws of rational exponents similar to laws of integer exponents?
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
What does the exponent or power mean in math?
An integer exponent is the number of times that a number is multiplied by itself. For example: if the exponent of a is 3, then it represents the number a3 = a*a*a. The laws of exponents can be extended to arrive at definitions of negative exponents [a-3 = 1/a3] and fractional exponents [a1/3 is the cube or third root of a]. These definitions can be further extended to exponents that are irrational numbers, or even complex number.
When there are 2 exponent question what do you do to the exponents if the base is different?
the base and the laws of exponent
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.
What is a base in the laws of exponents?
If you have a power, the "base" is the large number to the left; the "exponent" is the raised (and smaller) number to the right.
