Solving (x^2)^y on TI-89 Titanium

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Discussion Overview

The discussion revolves around the behavior of the TI-89 Titanium calculator when evaluating the expression (x^2)^y. Participants are exploring the calculator's output and the underlying reasons for its inability to simplify the expression to x^(2y).

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant notes that while (x^2)^2 simplifies to x^4, (x^2)^y does not simplify further and remains as (x^2)^y.
  • Another participant suggests that the calculator's inability to simplify may relate to whether x and y are defined as real or complex numbers.
  • A participant questions whether their calculator is malfunctioning based on the output received.
  • A later reply clarifies that the calculator requires additional information about x and y to perform further simplification.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the calculator's behavior, with some suggesting it may be a limitation rather than a malfunction. There is no consensus on the exact reason for the output.

Contextual Notes

The discussion highlights potential limitations in the calculator's ability to simplify expressions based on the definitions of variables involved.

2Xist
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Hi,

again as usual, i unfortunally have another question about the ti-89 titanum
when i insert (x^2)^2 i get x^4 (due to the power law in expoents) but when i insert (x^2)^y i get the same answer back, (x^2)^y. what i think the answer should be is x^2y but i donno what's wrong.

Please try on your own calculators and reply results

thanks again
 
Computer science news on Phys.org
Even mathematica does it.
Perhaps it has something to do with the calculator not knowing if x or y belong to the real or complex set.
 
so.. ur saying my cal is fked up?
 
No, K.J.Healey is saying the calculator cannot simplify your expression further unless you tell it more about what x and y are.

- Warren
 

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