Best case is to run high voltage (power) and low voltage (audio, video, dmx) separately to prevent interference. If they have to cross paths do it at a 90 degree angle to limit interference. Running them bundled together is a worst case scenario and tests the shielding and noise rejection capabilities of all gear involved. If they have to run together, try to keep them separated by the width of your finger as a "handy" measuring tool when taping or strapping them down. If you can, run them in separate sheathing or put a small sheath around one first to keep them separate within the large sheath. I assume you are talking about automotive split sheathing which is typically black but you could also look at raceway type products (aka wiremold) which is typically white/ivory/beige and many times is paintable. Some of the raceway products are wide & flat which may allow you to keeping power & signal cabling separated by an air gap which is much better than being strapped together.
When running horizontally and taping it's best to lay each cable out separately to not only prevent signal noise, but it also leaves a flatter profile when the house inevitably rolls a maintenance cart over your cabling letting your cables share the crush load rather than concentrating it on a bundle of cabling pinching the weakest one.
It is possible that you won't hear/see any noise with them bundled together when you test it at setup, but Mr Murphy will change something between setup & showtime to add noise to the power line which could then be transferred to the signal line during an event.
Good luck!
Scott