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Why does the calculator return 1 for (-1^.5)^2? I would have said it should return -1.

 Dec 27, 2016
 #1
avatar+33661 
0

Because ^ takes priority over - we have -1^0.5 → -(1^0.5) → -1 

 

Square this and you get +1

.

 Dec 27, 2016
 #2
avatar+37155 
0

You can 'force' it by entering it thusly   ((-1)^.5 )^2  = -1

 Dec 27, 2016
 #3
avatar+2511 
+5

Actually, in this case

 

\((-1^.5)^2\)

 

Is the same as

 

\(\left ( \sqrt{-1} \right )^2 \\ \text {is the same as } \sqrt{-1}= i \rightarrow i^2 = -1\\\)

 Dec 27, 2016
edited by GingerAle  Dec 27, 2016

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