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Error with exponential fractions
11-12-2014, 07:44 AM (This post was last modified: 11-12-2014 08:01 AM by Gilles.)
Post: #10
RE: Error with exponential fractions
(11-12-2014 03:26 AM)Han Wrote:  
(11-12-2014 01:03 AM)Thomas Klemm Wrote:  That's not what the HP Prime is showing. Simply put: it shows a wrong result.
Exponentiation is right associative:
\[\frac{1}{e^{t^2}}=\frac{1}{e^{(t^2)}}\]

If you type:

\[ simplify\left(\frac{e^{-x}}{e^{x}}\right) \]

and then follow up with:

\[ Ans - \frac{1}{e^{2x}} \]

and then use the simplify menu option, you get the correct result 0. In other words, the HP Prime is calculating it correctly, but displaying it incorrectly due to a missing set of parentheses. I was not suggesting that what it was displaying was correct and simply noting that
\[ \frac{1}{e^{x^2}} \text{ looks like the correct expression} \frac{1}{(e^x)^2} \]
but lacking the the necessary parentheses.

Yes... I've miss the parenthesis bug of the Prime in 'textbook' display in my fisrt post. Idea is :
(x^a)^b = x^(a.b) and not that 2.t=t²

2-d display/entry must be improved. It would also be fine if we could manipulate 'algebraic' objects like in the EQW of the 50G (to change a subset of equation, partial simplification or evaluation, to swap elements of the equation etc.)
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Messages In This Thread
Error with exponential fractions - Juan.C - 11-11-2014, 08:46 PM
RE: Error with exponential fractions - Han - 11-11-2014, 11:59 PM
RE: Error with exponential fractions - Han - 11-12-2014, 03:26 AM
RE: Error with exponential fractions - Gilles - 11-12-2014 07:44 AM



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