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

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When using the TI-89 Titanium calculator, inputting (x^2)^2 correctly simplifies to x^4, demonstrating the power law of exponents. However, entering (x^2)^y does not simplify to x^(2y) as expected; instead, it returns the original expression (x^2)^y. This behavior is attributed to the calculator's inability to simplify the expression without additional context about the variables x and y, such as whether they are real or complex numbers. The discussion highlights that the calculator is functioning correctly, as it requires more information to perform further simplification.
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
 
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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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