Okay so if you are given how would you figure out the last two digits of the munber using mod.
Follow Math Help Forum on Facebook and Google+
Originally Posted by diddledabble Okay so if you are given how would you figure out the last two digits of the munber using mod. Hi
You need to find
But how do you work through it. I did it for and got 143 but I am not confident on my steps. I don't want anyone to solve my homework. That is why I altered my question to . I just need a good detailed step by step explanation. Thanks
Use Euler's theorem: where
So we know:
Now use the property:
Hello, diddledabble! Find the last two digits of: . Consider the two-digit endings of consecutive powers of 7 . . . . .
The endings form a four-step cycle: .
Since has the third ending: .
Your answer was sooo easy to understand. Just what I was looking for.
View Tag Cloud