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On the Value of Radicals Raised to Exponential Powers

by Alex
(Vancouver, B.C., Canada)











































Would an undefined exponential power result in the whole radical being undefined?

Comments for On the Value of Radicals Raised to Exponential Powers

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Jun 28, 2011
Value of “Undefined” Exponential Powers
by: Staff


The question:

by Alex
(Vancouver, B.C., Canada)

Would an undefined exponential power result in the whole radical being undefined?


The answer:

There is a difference of opinion about what is “indeterminate” and what is “undefined”.


Generally, an undefined exponent will be of the form:

z^(y/x)

where x = 0, and z and y are real numbers not equal to 0

z^(y/0)

Since it is impossible to divide by 0, the exponent is undefined and the entire expression z^(y/x) is also undefined.

x can be replaced with an expression such as (x-2).

z^[y/(x-2)]

In this case the exponent will only be undefined if x = 2.




Thanks for writing.

Staff
www.solving-math-problems.com


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