Question

what is unit digit of expression 888^888! + 222^222!+333^333!+777^777!​

Answer 1

Step-by-step explanation:

units digit is 0

unit digit of expression 888^888! + 222^222!+333^333!+777^777! is 0

Answer 2

Cyclicity of powers of 8, 2, 3 and 7 are 4 only. All powers given in factorial are necessarily divided by 4. So, all the given powers when divided by 4, the remainder will be 0 only. So, we are concerned with the last term of cyclicity of the given numbers:

Hence, 6 + 6 + 1 + 1 = 14.

Final answer is 4.