Why does the calculator return 1 for (-1^.5)^2? I would have said it should return -1.
Because ^ takes priority over - we have -1^0.5 → -(1^0.5) → -1
Square this and you get +1
.
You can 'force' it by entering it thusly ((-1)^.5 )^2 = -1
Actually, in this case
\((-1^.5)^2\)
Is the same as
\(\left ( \sqrt{-1} \right )^2 \\ \text {is the same as } \sqrt{-1}= i \rightarrow i^2 = -1\\\)