Exponentiation order

Exponentiation order is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

This task will demonstrate the order of exponentiation   (x^y)   when there are multiple exponents.

(Most languages usually support one of   **,   ^,   or   ↑   or somesuch.)

task requirements

Show the result of a language's evaluation of multiple exponentiation (either as an integer or floating point).

Use whatever exponentiation operator for your language; use a comment showing what the operator(s) is/are.

Using whatever operator or syntax your language supports (if any), show the results in three lines (with identification):

•   5**3**2
•   (5**3)**2
•   5**(3**2)

If there are other methods (or formats) of multiple exponentiations, show them as well.

See also

• Wiki entry exponentiation
• Mathworld entry exponentiation

Perl 6

<lang perl6>sub demo($x) { say " $x\t───► ", EVAL $x }

demo '5**3**2'; demo '(5**3)**2'; demo '5**(3**2)'; demo '[**] 5,3,2'; demo '[\**] 5,3,2';</lang>

Output:

  5**3**2	───► 1953125
  (5**3)**2	───► 15625
  5**(3**2)	───► 1953125
  [**] 5,3,2	───► 1953125
  [\**] 5,3,2	───► 2 9 1953125

Python

<lang python>>>> 5**3**2 1953125 >>> (5**3)**2 15625 >>> 5**(3**2) 1953125 >>> # The following is not normally done >>> try: from functools import reduce # Py3K except: pass

>>> reduce(pow, (5, 3, 2)) 15625 >>> </lang>

REXX

<lang rexx>/*REXX program demonstrates various ways of multiple exponentiations. */ /*┌────────────────────────────────────────────────────────────────────┐

 │ The REXX language uses      **      for exponention.               │
 │                   Also,    *  *     can be used.                   │
 └────────────────────────────────────────────────────────────────────┘*/

say ' 5**3**2 ───► ' 5**3**2 say ' (5**3)**2 ───► ' (5**3)**2 say ' 5**(3**2) ───► ' 5**(3**2)

                                      /*stick a fork in it, we're done.*/</lang>

output

   5**3**2   ───►  15625
   (5**3)**2 ───►  15625
   5**(3**2) ───►  1953125