I am attempting my economics homework and have an answer but I am not sure if I have it simplified as far as possible. I need a little help brushing up on my log rules. Please let me know if I can simplify this answer further:

e^[15-.5ln(w)]

I believe it can be simplified further like this:

e^15-e^.5ln(w) = e^15-w*e^.5

Is this correct? If not can you please give me the correct log and e rules to simplify this correctly?