As six people have died on this route since it was put in place, and it looks really steep and scary, how can I ascend it safely?
How do you do it safely? It is safe. Just do it. Those six deaths were over 100 years. Recently there are as many as 50,000 people doing that route per year. Even if those six deaths were all in the last year, that's only a 0.012% death rate. But those weren't all in one year. The real risk is between one and two orders of magnitude less than that. You are more likely to be struck by lightning.
Realize that all activities carry a risk. Accept that and move on.
First off, don't even think of attempting this if its raining or thunderstorms are nearby. Not only will water make the rock slick, but the prominence and the metal cables make people on the route prime targets for lighting strikes.
You are going to want to wear grippy shoes because of the slick granite and gloves to protect your hands.
What you are going to want to do to prevent a catastrophic fall is to clip yourself in to the cables. The minimum equipment for that is a rock climbing harness and a via ferrata setup. A rock climbing helmet would also be a good idea. The caribiners will need to be regular sized (not mini).
As you go up the cables, you will have one caribiner connected to the cable at all times. When you get to a post, clip the other caribiner onto the cable on the other side of the post, before removing the first. Like this.
If you were to fall, the caribiner would slide until it caught on the post.
With that said, you DO NOT want to fall, because of the risk of hitting some one else and knocking them down, potentially causing them to fall. The odds are very few people are going to be clipped in.
Also, there is traffic going up and down at the same time so be mindful for other people.
Making certain that you water bottles are secured inside your pack so that they can't fall out and hid someone else is also a good idea.
Getting an early start will give you more time and allow you to take it slowly.