Exponents Issue

[CyberAngel]

(02-05-2020 10:42 PM)Claudio L. Wrote:  

(02-04-2020 11:23 AM)dimchansky Wrote:  Expecting the expression

Code:

x^(1/9)*(x*x^(1/3))^(1/6)

to be simplified to

Code:

x^(1/3)

, but the calculator does not simplify it (tried collect, simplify functions with no effect). TI-89 Titanium and TI-Nspire both calculators simplify it.
Any ideas?

I don't think both expressions are equivalent with x<0? I don't know, it seems to me some of the multiple solutions might get lost in the shuffle and that's why the CAS refuses to simplify. Wolfram Alpha seems to think it's a bad idea to simplify this too.

Right!
Fractional or rational exponents using Power function differ from the Root function.
Note that negative real numbers can have odd roots. A third root of -8 is -2.
He asked for the TI-like simplification.