Question

what is the last digit of 2022^7?​

Answer 1

Answer:

9

Step-by-step explanation:

Here the number is ending with 7. We know that, the cyclicity of 7 is four and it's power cycle is {7, 9, 3, 1}. And here power is 2022 hence we divide power 2022 by cyclicity 4 then the we get the remainder as two. As the remainder is 2 and hence second element from power cycle of 7 is 9.

Answer 2

Answer:

Last digit will be 2Raise to 7

So the last digit is 2 X 2 X 2 X 2 X 2 X 2 X 2

= 128

So the last digit is 8