I have a external electrical outlet in the front and back patios of my house and neither of them work. What do I need to do to fix this problem?

Look for a GFI breaker in the panel that may be tripped, or look for a GFI duplex receptacle in bathrooms, basements, at the main panel, garages, any other exterior outlet. Any one of these can be tripped. A GFI outlet will have a test and reset button, hit the reset button, if it trips again, then there must be a problem with whatever is plugged into the outlet.