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The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.

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Q: How are the laws of rational exponents similar to laws of integer exponents?
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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.


How does the exponent laws work with rational fractional exponents?

Paranthisis Exponent Multiply Divide Add Subtract you use pemdas for instance (2/3 x 3/2)3 + 5 = 8


What is the definitions for exponents?

In the number x, with positive integer exponent a, a is the number of times that 1 (not the number itself) is multiplied by x. So, for example in the expression, 43 the exponent is 3 and the number represented is "1 is multiplied by 4 three times". If you multiply 4 by itself 3 times, you will get 4*4 (one time) * 4 (two times) *4 (three times) and that is NOT 43: it is just a wrong description.The laws of exponents are:xa * xb = xa+bxa / xb = xa-b(xa)b = xa*b(xy)a = xa * yaThe first three are used to extend the domain of exponents to negative integers and rational numbers. Exponents to irrational numbers are defined as limits of the exponents of the rational sequences converging to the irrational number.Finally, 00 is not defined (because it does not converge).


What are the laws of exponents in dividing monomials?

kahit ano sagot


What is the Seventh law of exponents?

That depends how you choose to number the laws.