So if I connect a 0.1W resistor in series and, for example, 10W, the power will be added? I wonder if this small resistor will cope with a circuit with significant power, or maybe we will only see smoke for a short while? 
My answer is that if we connect different resistors in series (when it comes to their power), the resultant power will be the same as the resistor with the smallest power. I write this as a practitioner, not a theorist.

My answer is that if we connect different resistors in series (when it comes to their power), the resultant power will be the same as the resistor with the smallest power. I write this as a practitioner, not a theorist.