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; if it is not one of the usual ones, please comment on what the operator or operators look like in your language.

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'; # show ** is right associative demo '(5**3)**2'; demo '5**(3**2)';

demo '[**] 5,3,2'; # reduction form, show only final result demo '[\**] 5,3,2'; # triangle reduction, show growing results</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