Question

What is the unit digit of 888^888 ?

Answer 1

Answer:

6

Step-by-step explanation:

cyclicity of 8 is

8¹ = 8

8² = 64 or unit digit 4

8³ = 512 or unit digit 2

8⁴ = 4096 or unit digit 6

8⁵ = 8⁴ x 8 or unit digit 8 so cyclicity repeats after power 4

according to this question

888⁸⁸⁸ or we can say that 8⁸⁸⁸

now power 888 is completely divisible by 4 so unit digit is 6