# `*` — Exponential / Exponent

Function. Ranks: `0` monadic, `0 0` dyadic

`*Y`: e<sup>Y</sup>. Pervasive.

``` bpl
*0                ⍝ 1
```

`X*Y`: X<sup>Y</sup>. Integral powers of exact operands stay exact.

``` bpl
2*3               ⍝ 8
2ₓ*¯3ₓ            ⍝ 1r8
```

Other powers use principal complex branches where needed.

``` bpl
¯1*0.5            ⍝ 0j1
```

See also function [power `⍣`](star-diaeresis.qmd).

## Inverse

`*⁻¹` is `⍟`. With the right argument fixed, `(*↢X)⁻¹Y` is `Y*÷X`.

``` bpl
2*⁻¹8      ⍝ 3
(*↢2)⁻¹9   ⍝ 3
```