Question

the unit digit in the product (122)^173 is

Answer 1

\[
2^1=2\\
2^2=4\\
2^3=8\\
2^4=16 (6)\\
2^5=32 (2)\\
2^6=64 (4)\\
2^7=128 (8)\\
2^8=256 (6)\\
2^9=512 (2)\\
2^{10}=1024 (4)\\
\]The pattern here is \(2,4,8, 6,2,4,8,6,\ldots\)

Answer 2

Figure out the remainder of \(173\).

Answer 3

The remainder when dividing by \(4\).

Answer 4

\[\Huge \mathbb {\color{red}{WELCOME}~~\color{blue}{TO}~~\color{green}{OPENSTUDY} \color{purple}{\ddot\smile}}\]

Answer 5

8

Answer 6

8 is the remainder ah

Answer 7

No, the remainder after dividing by 4. It should be between 0, 1, 2, and 3.

Answer 8

why divied by 4

Answer 9

It's the remainder.

Answer 10

Starting at
173
We can remove 100 since it's divisible by 100
73
We can remove 40
33
We can remove 20
13
We can remove 12
1

So the remainder is 1

Answer 11

\(2^1=2\) so the unit digit will be 2.