Golf the xᵗʰ root of x

Question

While bored in high-school (when I was half my current age...), I found that \$f(x) = x^{x^{-1}}\$ had some interesting properties, including e.g. that the maximum \$f\$ for \$0 ≤ x\$ is \$f(e)\$, and that the binding energy per nucleon of an isotope can be approximated as \$6 × f(x ÷ 21)\$...

Anyway, write the shortest function or program that calculates the x^th root of x for any number in your language's domain.

Examples cases

For all languages

     -1   >       -1
   ¯0.2   >    -3125
   ¯0.5   >        4
    0.5   >     0.25
      1   >        1
      2   >    1.414
      e   >    1.444 
      3   >    1.442
    100   >    1.047
  10000   >    1.001

For languages that handle complex numbers

   -2   >        -0.7071i
    i   >            4.81         
   2i   >    2.063-0.745i
 1+2i   >   1.820-0.1834i
 2+2i   >   1.575-0.1003i

For languages that handle infinities

-1/∞   >   0    (or ∞ or ̃∞)
   0   >   0    (or 1 or ∞)
 1/∞   >   0
   ∞   >   1
  -∞   >   1

For languages that handle both infinities and complex numbers

 -∞-2i   >   1      (or ̃∞)

---

^{̃∞ denotes directed infinity.}

Answer 1

Pyth, 1 byte

@

Pyth takes implicit input, so @ is really equivalent to @QQ, where Q is the evaluated input.

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Answer 2

Vyxal, 2 bytes

Ėe

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The es are coming!

 e # x to the power of
Ė  # 1/x

Answer 3

Julia 1.0, 9 bytes

~x=x^x^-1

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This solution handles both complex numbers and infinities.

Answer 4

05AB1E, 2 bytes

zm

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zm  # full program
    # implicit input...
 m  # to the power of...
z   # 1 divided by...
    # implicit input
    # implicit output

Answer 5

Thunno 2, 2 bytes

Ị*

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Ị calculates the reciprocal, and * does exponentiation.