May 21, 2021 · 1 What is the unit digit in the product $3547^ {153}\times251^ {72}$? I know that the required digit is equal to the unit digit in $7^ {153}\times1^ {72}$. And I also know that $1^ {72}=1$, …

How can I find the unit digit of $2 ^{9^{100}}$. Is there any general method of finding the unit digit?

What is the unit digit? [duplicate] Ask Question Asked 6 years, 1 month ago Modified 6 years ago

Oct 17, 2016 · How does this tie in with powers? Well, suppose you want to know the unit digit of $12^ {12}$. The unit digit is the remainder mod 10, so mod 10 it is. $12^ {12} \equiv 2^ {12} \equiv (2^4)^3 …

May 27, 2023 · If the unit digit of n is 5, then the unit digit of (n+1) would be 6. The product of 5 and 6 is 30, and dividing it by 2 gives a unit digit of 5. If the unit digit of n is 6, then the unit digit of (n+1) …

Jan 28, 2018 · $\bullet$ The unit digit of every power of 3!, which is 6, is 6. $\bullet$ Since $96!~ mod2 = 0$, $ (4!)^ {96!} mod10 =6$, it is like the cycle of $4 \rightarrow 6 \rightarrow 4\rightarrow 6$. …

Oct 16, 2018 · How can I prove that the unit digit of a perfect square is always $0,1,4,9,5,6$ and never $2,3,7,8$? It's pretty intuitive but I am having difficulties proving this statement. I had used trial ...

Jan 27, 2015 · This will be quite challenging to do without modular arithmetic, but perhaps I can do it in a way that you will be able to understand easily. $7$ is a really neat number in that the last digit of …

What is the unit decimal digit? Ask Question Asked 10 years, 2 months ago Modified 10 years, 2 months ago

May 20, 2020 · I know the unit digit is 1, 3, 7 or 9, but how do I know which one it is? After finding the unit digit of $43^ {43}$, how do I then use this to find the unit digit of $ { {43}^ {43}}^ {43}$?