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Topic: power to a power to a power
Replies: 20   Last Post: Oct 4, 2013 1:12 PM

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 Dan Christensen Posts: 8,219 Registered: 7/9/08
Re: power to a power to a power
Posted: Oct 2, 2013 11:15 PM
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On Saturday, September 14, 2013 5:43:22 AM UTC-4, Jean Dubois wrote:
> when a succession of powers like e.g. a^b^c is written
>
> should this be interpreted as:
>
> 1. (a^b)^c
>
> or as
>
> 2. a^(b^c)
>
> Which a logical reason is there to chose one or the other?
>
> and how about the interpretation of:
>
> a^b^c^d
>
> how to interprete this using brackets?
>

I think most calculators have a^b^c = (a^b)^c. Super-scripting, on the other hand, is really a form of implicit bracketing -- higher levels have higher precedence.

b+c
a = a^(b+c) =/= a^b+c (I hope the spacing isn't messed up!)

Dan

Date Subject Author
9/14/13 Jean Dubois
9/14/13 Jussi Piitulainen
9/14/13 Brian Q. Hutchings
9/15/13 IV
9/15/13 scattered
9/15/13 Brian Q. Hutchings
9/16/13 Bill Taylor
9/16/13 IV
9/16/13 Barry Schwarz
9/21/13 IV
9/16/13 Virgil
9/17/13 scattered
9/17/13 Brian Q. Hutchings
9/21/13 IV
9/21/13 IV
10/2/13 Dan Christensen
10/3/13 williamjohn.gowers@googlemail.com
10/3/13 Brian Q. Hutchings
10/3/13 Karl-Olav Nyberg
10/3/13 Brian Q. Hutchings
10/4/13 Brian Q. Hutchings

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