I have no power to my kenmore elite dryer, model 110.87089601. I had a sudden power outgage and checked the circut brakers. Is there a reset button anywhere?

Unfortunately there is not a reset button or circuit breaker or even a fusible link in that model of dryer.

But before you panic, I would recommend that you trip and reset the dryer circuit breaker (unplug the dryer first) in your house circuit breaker panel to make sure it is really set. Then measure the volatage at the outlet for the dryer with a multimeter (remember it is 220V) to make sure you have both 110V legs at the outlet. If everything is good up to the outlet, you will need to open up your dryer cabinet to find out where you lose the voltage. When you get to a point that you have volatage on one side of a component but not on the other - that part is normally bad.