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Why is the result of solving this inequality incomplete?Is it a BUG in the software?

According to cvgmt's answer to the previous question, I review the function images of Power function again, and some of them are also wrong. In the software, CubeRoot [x] represents x ^ (1/3). How can other Power function be represented correctly in the software?

Plot[{x^-1, x^(-1/2), x, CubeRoot[x], x^(1/2), x^(2/3), x^(3/4), x^2, 
  x^3}, {x, -2, 2}, AspectRatio -> 1, PlotLabels -> Automatic, 
 Axes -> True, AxesStyle -> Arrowheads[{0.0, 0.04}], 
 AxesLabel -> {x, y}, ImageSize -> Full, 
 PlotHighlighting -> "Dropline"]

The image x ^ (2/3) drawn in the above code is incorrect

enter image description here

For example, how can any Power function such as x ^ (2/3), x ^ (6/7), x ^ (3/10), etc. be correctly represented?

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