Collect different symbolic variables under the same exponent

I have 2 symbolic variables 'a' and 'b', and an exponent 'm'. At the end of some calculations the symbolic expression that Matlab provides is in the form:

I want to ask if there is a function that allow me to rewrite it in the form:

.

I know that I can do it by hand, but I have at least 200 terms to rewrite in this way.

Thanks very much for the help.

Answer 1

[Kiran Felix Robert]

Hi Edoardo,

Refer the expand function, and Children function documentation. Refer link for various other Functions to Rearrange Symbolic Expressions.

The Following code shows an example for your use case,

syms a b m y
y = (a^m/b^(m+2));
y = expand(y);
[N,D] = numden(y);
D_Split = children(D);
T1 = N/D_Split(1); % (a/b)^m
T2 = 1/D_Split(2); % (1/b^2)

Kiran Felix Robert

[Edoardo Fornari]

Thank you very much for your answer