Question: Product simplification fails

The following product

 

(product(mu^x[i]/factorial(x[i]), i = 1 .. n))

 

does not simplify to the most obvious form whatever I try

 

mu^(sum(x[i], i = 1 .. n))/(product(factorial(x[i]), i = 1 .. n))

 

What can it be?

 

 

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