> ## Documentation Index
> Fetch the complete documentation index at: https://docs.metrics-man.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Exp

# \$exp

The `$exp` operator returns the value of e (Euler's number) raised to the power of the input value.

## Input

* A single numeric value (the exponent)

## Output

* e raised to the power of the input value

## Examples

### Positive Exponent

```json theme={null}
{
  "$exp": [
    1
  ]
}
```

Result: `2.718281828459045` (approximately e^1)

### Zero Exponent

```json theme={null}
{
  "$exp": [
    0
  ]
}
```

Result: `1` (e^0 = 1)

### Negative Exponent

```json theme={null}
{
  "$exp": [
    -1
  ]
}
```

Result: `0.36787944117144233` (approximately e^-1)

### Field Value

```json theme={null}
{
  "$exp": [
    {
      "$input": "growth_rate"
    }
  ]
}
```

Result: e raised to the power of the growth\_rate field