APS sensors in digital cameras are smaller. They crop the centre out of the frame. A 50mm becomes an effective 75mm, a 35mm roughly 50mm, a 100mm becomes 150mm, etc. The exact numbers depends on the size of the sensor (1.4 to 1.6x typically)
On the 35mm film format, a 50mm lens showed exactly what the eye sees perspective wise. This is why it is such a popular choice. On digital camera the 35mm achieves the same effect.
As for the quality question, aside from sharpness there is also aperture. Canon and Nikon both have 50mm f/1.2 lenses, yet their most expensive professional zoom lenses in that range (17-55mm for Nikon) still only goes down to f/2.8 and is not as sharp as the fixed. It's not a question of buying it's a question of optimising. A fixed lens has few elements and even fewer moving ones. It is easy to optimise them for good sharpness and large apertures. A zoom lens on the other hand has many elements in distinct group sets with multiple group sets moving for the zooming and focusing actions. Producing a high quality f/1.2 lens that zooms is as current technology goes a near technical impossibility.