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Re: Simplify Exponential Output

  • To: mathgroup at smc.vnet.net
  • Subject: [mg108352] Re: Simplify Exponential Output
  • From: "Nasser M. Abbasi" <nma at 12000.org>
  • Date: Sun, 14 Mar 2010 06:00:49 -0500 (EST)
  • References: <hng268$s1j$1@smc.vnet.net>

"davef" <davidfrick2003 at yahoo.com> wrote in message 
news:hng268$s1j$1 at smc.vnet.net...
> 4^(0.5x) can be rewritten as 2^x  (i.e., 2^[(2)(0.5)(x)]).
>
> How can I get Mathematica to output 4^0.5x as 2^x?
>
> E.g., my input is 4^(.5 x); how do I get output of 2^x?
>

If you Rationalize[] the value you are multiplying x with first, then you 
can use simplify,

In[10]:= a = 0.5;

Simplify[4^(Rationalize[a]*x)]

Out[11]= 2^x

--Nasser 




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