# On the Value of Radicals Raised to Exponential Powers

by Alex

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

### Comments for On the Value of Radicals Raised to Exponential Powers

 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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