Could you help me with the simplification of these kind of results?

Really, I don't understand why Matlab is so horrible at making a decent simplification of fractions:

Look at this:

For example, the first result is just this:

How can I get a better simplification of these kind of results? I've tried simplify + other commands but just can't, it doesn't work

[John D'Errico]

How many times will you ask the same question? How is this question fundamentally different from the last time you asked it?

https://www.mathworks.com/matlabcentral/answers/554212-how-can-i-get-a-better-simplification-of-my-results

That you think 1/sqrt(2) is simpler than sqrt(2)/2, is just your personal preference, a choice made by you, but apparently not preferred by symengine.

1/sqrt(sym(2))
ans =
2^(1/2)/2

I expect we will hear again, asking about a truly novel problem, like 1/sqrt(3).

Thankfully, you may give up by the time we get to 4.

1/sqrt(sym(4))
ans =
1/2

Answer 1

[Walter Roberson]

Did you simplify() telling it to ignore analytic constraints?

If p0 is 0 then the expression to the power 0 would be 0^0 which is undefined. If you put in a constraint that forces p0 to be nonzero and m to be finite then the power 0 could be simplified.

[Walter Roberson]

Ah, is that a list of three different values, or is it a single expression that continues over multiple lines with the second term of the subtraction being raised to power 0?