2016汽車駕照的筆試 汽車筆試沒過汽車駕照筆試有效期限汽車筆試時效2015汽車駕照筆試是採用什麼方法考的?2016

同餘原理：
 
設正整數x、y除以b之餘數分別為p、q，則

1. (x+y)除以b之餘數=(p+q)除以b之餘數。【相加→餘數相加】
 
2. (x-y)除以b之餘數=(p-q)除以b之餘數。【相減→餘數相減】
 
3. (xy)除以b之餘數=(pq)除以b之餘數。【相乘→餘數相乘】
 
4. (x^n)除以b之餘數=(p^n)除以b之餘數。【次方→餘數次方】

關於這些性質，應該如何證明? 請高手指教，感激不盡！ 

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