I’m not sure if the image formatted correctly since I’m on mobile, but the bottom expression is undefined (due to order of operations) despite both being algebraically equivalent to (-5)^(12/10). Interesting to note how google defaults to a complex solution if you search up (-5)^1.2, but gives you a real solution if you do ((-5)^12)^(1/10), so it must be some internal floating point stuff.
A square root is an even root, and you can’t find the square root of -1 using real numbers since 1^2 is 1 and (-1)^2 is also 1. However, your solution to (-5)^1.2 depends on how you approach the problem, since there is both a real and complex solution.
