Think about the pattern for 7^x. What do you get?

7,9,3,1

Correct. What is the remainder for 7^{32}? Can you use that to find the remainder for 7^{35}?

Okay I got itā¦ the remainder is the 7^x & that would be the answer right??

Indeed - but confirm it for yourself.

Still I having confusion when I have to use unit digit approach & remainders with exponents approach! Could you please clarify it?

What do you mean by the two approaches? Clarify your understanding of them.

When youāre dealing with division by 10, 5 or 2 you can instantly tell the remainder just from the unit digit right?

For other numbers you have to do the pattern with the remainder itself.

Check out Question 1, 2 and 3 in this video.

(Iām Overwhelmed) Arithmetic Progress Quiz #7 Solutions

I go through 3 examples, questions 1 and 2 where I use the unit digit (when dividing by 5) and question 3 when I use pattern recognition (when dividing by 3).

Hopefully that clarifies things.

No division by 5 is also confusing! For 7^28/5 it is said we have to look at ud but for 3^62 we have to do distance type thing. Iām gonna lose my mind. There should be specific rules for each number!

This is the rule, as I stated right?

When youāre dealing with division by 10, 5 or 2 you can instantly tell the remainder just from the unit digit right?

For other numbers you have to do the pattern with the remainder itself.

The ādistanceā is just using the unit digit.

I donāt know thereās still confusion, I feel dumb & crying

Send me an email ganesh@gregmat.com . Iāll help you with a quick call.

I am also heavily struggling with this concept. I feel similarly to Tishi, I canāt figure out the āpatternsā or when thereās a rule, when to look at dividing remainder or looking at the unit digit. Is there a longer video I can watch about this topic?

Please talk to the moderators of the group or make a post , Iām sure they will help you out. There are 3/4videos on unit digits in Prepswift ,you can watch them and after watching,

if you canāt understand reach out to the moderators. When I didnāt understand the topic even after going through the multiple times of videos, Ganesh decided to give me class on zoom. Now I donāt face problems but the topic needs to be practiced over again and again