That blade you have is still going to just chew up that plywood, it is made for rough cutting plywood and OSB when doing rough construction. If you want any kind of finish quality, get a decent blade with carbide teeth. Plywood is lighter, but doesn't machine as well, so keep that in mind too, you will want to be careful with the edges, and every exposed edge should be set up to take t-molding, you will never get a reasonable finished edge on plywood.
A word of advice on plywood: When cross cutting (cutting against the grain of the surface), you will likely get a lot of grain blowout. This is where the sawblade coming up through the forward part of the cut will break off splinters instead of cut them, and the edge will be very ragged and very ugly. Take some 1.5" painters tape and tape it to the surface centered along your cut line. This will help a little by holding down the wood and preventing it from splintering up. Also, set your blade to the lowest setting that still cuts all the way through so you are not cutting perpendicular to the surface. If you are really good with the saw, set it to about 1/8" depth first, make one pass, then set it to the full depth and make a second, this will cut the first layer at a very shallow angle (minimal blowout) and then the second pass will cut the rest. The underside is usually not a problem as the blade is cutting UP and into the wood, not lifting the surface grain off the plywood.