Do hawks eyes actually 10x sharper in quality than a humans? Or is it more complicated than that?

I once read an article about vision, in particular, how to get a computer to be able to "see". The title of the article was, "There Is No Sight Without Insight". In other words, vision is *highly* computational. Simply projecting an image onto a retina does not cut it. It is the brain processing that happens afterward that allows us to "see". Humans and other primates spent many tens of millions of years as creatures of the night, as well as, creatures of the trees. Thus, we have a multitude of rods for enhanced night vision, and relatively fewer cones. Hawks and eagles have the opposite, i.e. much more cone density, since they never spent much of their evolution hunting in darkness. Furthermore, I am sure in my own mind that hawks and eagles have brain circuitry that favors discerning motion against a background (like also cats), while our primate tree dwelling brain circuitry is more geared toward 3-D spacial perception, in order to facilitate safely navigating through tree branches. 

But yes, hawks and eagles do have sharper eyesight, geared toward the vision that their survival mandates.

Cheers. 

They have quite a number of adaptations that enable them to see ‘better’ than us.

Compared to their body size their eyes are quite large.

Their lens has a flattened shape and is rather far from its retina giving it a long focal length. This enables its eye to function similar to a telescope thus producing a large image.

They have a large pupil and a highly curved cornea. These allow plenty of light into their eyes.

They have almost surrendered night vision to have greater visual acuity in daylight hours, which is when they hunt. They have far less rods than us, which are mainly only good for seeing whether it is light or not. They have a far greater number of cones, which are much more tightly packed. Cones enable you to see in light with greater acuity.

Finally, they can see in the ultraviolet spectrum. This gives then much greater colour perception than us.

A hawk can easily see a prey animal at two to three times the distance a human would be able to see it. Their vision also allows than to make fine discriminations. This enables them to keep prey in sight whilst both the hawk and prey are moving, and to constantly be able to judge its distance from the prey.

Hwks have binocular vision just like us. 

Their eyes see sharper, they can also see ultraviolet, which is something that is quite impossible for us to understand. As a comparison: dogs can't see greens, purple, reds or oranges. We humans can see these colors which dogs simply can't comprehend. 

Hawks see ultraviolet, so they see colors we can't imagine. 

Birds pack a lot more neurons in a smaller space in their brains than mammals do, this helps their intelligence and advanced sensory. 

Interesting fact: trex is believed to have extremely advanced eyes which could also see ultraviolet. Like hawks, they are theropoda