If you never exfoliate your skin, you will see it. Dead skin cells on the surface can dull and harden your skin. It can enhance the appearance of wrinkles (yuck).
So, exfoliation would seem, should brighten and soften your skin and help to hide or even get rid of those wrinkles (keep dreaming). Well exfoliated skin will look brighter and softer. The cellular renewal that occurs when you strip off those dead skin cells brings younger skin cells to the surface and can improve your barrier function in your skin (its ability to fight off invading organisms and even more important, its ability to stop moisture loss through your skin). This young skin, with plenty of natural moisture will look younger and healthier, and you will too. And those pesky blackheads and whiteheads we hate. Removing some of that dead skin layer that blocks your pores, may help prevent those from occurring in such great frequency.
Beware though, too much is too much and it is not a good thing. Too much exfoliation can cause irritation and make your skin look ruddier and redder than ever before. If you start exfoliating and notice your skin is not feeling better, perhaps cut back to only once a week and see if it improves.
Always take care of your new refreshed skin by using a suitable moisturizer for your skin type. AND ALWAYS USE AN SPF. EVEN IN THE WINTER. EVEN WHEN ITS CLOUDY OUT. EVEN IF YOU ARE NOT GOING OUTSIDE. If the sun is out, put your sunblock on. Sun exposure is one of the easiest damages to our skin to prevent with proper SPF. And most sun damage occurs before you even realize you could have gotten a burn. And then you have sunspots and freckles and even worse, skin cancer aging you prematurely.