Real and Imaginary part of this function please

Hi there, I have this expression:

syms R C w a real
assume(R>0)
assume(C>0)
assume(w>0)
assume(a>0)

z=R/(1+(R*C)*(i*w)^a)
z =
 
R/(C*R*(w*1i)^a + 1)

I want to get the real part of Z

>> real(z)
 
ans =
 
R*real(1/(C*R*(w*1i)^a + 1))
 

and the imaginary part of Z

>> imag(z)
 
ans =
 
R*imag(1/(C*R*(w*1i)^a + 1))

How do I get the true real and Imaginary parts?

Thank you for your time!

Answer 1

[Walter Roberson]

simplify( rewrite(real(z), 'exp') )
simplify( rewrite(imag(z), 'exp') )

[Paramonte]

Dear Walter

It worked like a treat. Forever grateful sir!

Regards