Quote from mattai
Trying to remember all this math hurts my brain. Let's see...
If you had the equation simplified to 1^(1/3), there would be one easy answer for your calculator -> 1
But, since you've started from (-1)^(2/3), there are three possible roots, one real(1), and two solutions with imaginary parts.
The calculator probably tried to find one of the complex roots. Since it couldn't handle the imaginary numbers, it gave an error.
Actually, (-1)^(2/3)=1. I have just confirmed it with my calculator. The reason that it is not an imaginary answer is because (-1) is first cube-rooted, then squared. If it were squared-rooted first, then cubed, then the answer would contain an imaginery number. The cube root of (-1) is (-1), and the square of it is 1.
@MewMan, you may have just punched in the wrong numbers, because when I did the same thing my calculator gave me 1. Hope this helps.
Last edited by chineserider at 9:46 pm, Oct 9 2011________________
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