What is the remainder when 49^74 - 5^74 is divided by 24?

What is the remainder when 49^74 - 5^74 is divided by 24?

Quiz

Answer/Solution

0

Steps/Work

easiest way for me: 49^74 - 5^74 = (49)^37-25^37 = (24*2+1)^37 - (24+1)^37 -> remainder is 1^37 - 1^37 = 0
Ans : C