# Rewriting a power as an exponential: pow2exp

### 5.24.7 Rewriting a power as an exponential: pow2exp

Powers with arbitrary (positive) bases are often defined in terms of exponentials with base e with

ax = ex ln(a)

The pow2exp rewrites powers to exponentials.

- pow2exp takes one argument:
  expr, an exponential.
- pow2exp(expr) returns expr with any powers replaced by their corresponding exponential.

#### Example.

Input:

pow2exp(a^(x+y))

Output:

e

⎛ ⎝ | x+y | ⎞ ⎠ | lna