A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
What are the positive residual obtained when (17 ^ 15 +8 ^ 25) ^ 10 divided by 10?
anonymous
 4 years ago
What are the positive residual obtained when (17 ^ 15 +8 ^ 25) ^ 10 divided by 10?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0do you want an explanation?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok :) so, to start off, we need to understand that the positive residual is like a remainder...so anything that is a remainder after being divided by 10 is just the number that is in the one's digit....

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0like....225 divided by 10...the residue would be 5. 332 divided by 10, the residual would be 2. Do you get that??

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can you show me how you resolved the issue

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I will, but I need to make sure you got what I said above XD

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok, good :) so that means you only need to concentrate on the last digit of every number. 17^1=17 last digit is 7 17^2=289 last digit is 9 17^3=4913 last digit is 3 17^4=83521 last digit is 1 17^5=1419857 last digit is 7 So, by this, we can see that this sequence of 7931 is going to loop every four exponents. In the question above, 17 is raised to the 15 th power. Therefore, 7 9 3 1 7 9 3 1 7 9 3 1 7 9 3 The 15th number ends with 3.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0OK Thanks for your help

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now, taking the same pattern with 8: 8 4 2 6 8 4 2 6 8 4 2 6 8 4 2 6 8 4 2 6 8 4 2 6 8. The last number raised to the 25th power is 8.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0add these last digits up and you should get 1. 1^10 is 1 so the remainder of this equation is 1. Sorry for the lengthy explanation XD
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.