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From: davef on 13 Mar 2010 07:58
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?

From: David Park on 14 Mar 2010 06:12
Use Rationalize?

4^(0.5 x) // Rationalize
2^x


David Park
djmpark(a)comcast.net
http://home.comcast.net/~djmpark/


From: davef [mailto:davidfrick2003(a)yahoo.com]

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?



From: DrMajorBob on 14 Mar 2010 06:14
4^(0.5 x) // Rationalize

2^x

Bobby

On Sat, 13 Mar 2010 06:58:27 -0600, davef <davidfrick2003(a)yahoo.com> wrote:

> 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?
>


--
DrMajorBob(a)yahoo.com

From: Bob Hanlon on 14 Mar 2010 06:15
Tell it to use 1/2 for .5

4^(0.5 x) // Rationalize

2^x


Bob Hanlon

---- davef <davidfrick2003(a)yahoo.com> wrote:

=============
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?


--

Bob Hanlon


From: Nasser M. Abbasi on 14 Mar 2010 07:03

"davef" <davidfrick2003(a)yahoo.com> wrote in message
news:hng268$s1j$1(a)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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