MATLAB: Similar matrix multiplication speed up

matrix multiplication

Hi,
I need to multiply many times matrices of the same type. Is there a way to speed this up:
M1^m*M2^m*...
where Mi = expm(alpha(i)*P) P being a matrix (hermitian). Already all Mi are precalculated and the main calculation cost of my problem now is the long matrix multiplication through all i.
Thanks
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