@mecden1766

I'd just go,"well, 6 is the closest to 854"

@kckcmctcrc

Had to look up ‘Units digit’, have always called this the ‘ones digit’.

@jaezryl

The first problem I usually encounter as a non-native english speaker is figuring out math terminologies. Like, what the hell is Units digit?

@anderslvolljohansen1556

4^854 = 16^427

Since 6×6=36, any time you multipy two integers that end with digit 6, the product will also end with 6. Multiplying the product by a third integer ending with 6 must therfore also result in a new product ending with 6, etc.

4^854 = 16^427 is the product of 427 integers all ending with digit 6 and must therefore also end with digit six.

@shreyaghosh6246

a simple trick: just multiply the base to the last digit. here, it would be 4*4 = 16. hence, 6 is in the unit's place. This helps because in Multiplication the last digit doesn't change. For example:

   12
* 12
    —
    24
+120
    —
  144

@marianorodriguez13

Its clear that it is enough to check what happens mod 5, then:
4^854=(-1)^854=1
And the only possibility which is 1 mod 5 is 6.

@Fillster

I didn’t even know what a units digit was

@islamictv6475

If even power of 4 = unit digit 4
If odd power of 4 = unit digit 6

@melmelcatho290

I swear I'm learning more in YouTube shorts than in school 💀

@rosegocheva3309

It's fun learning the terms in math in English. Your channel is great

@pradap2298

I need reincarnation to learn math  again

@nishchaysharma5904

When life is less about solutions but more about patterns.

@NastyG27

I can’t wait to use this in the real world!

@maitreyeehira8523

Just divide the power with 4 .. remainder will be 2.. 4^2=16...unit digit =6 and if in any ques the remainder come 0 then unit digit will always be 1...

@JJ_TheGreat

Brilliant! I never would have picked up on this pattern! Thank you!

@loheshwarmanivannan3109

854 can be written 4n+2 so 4 power 4n+2 that is 4 power 2 =16 unit digit is 6

@somethingbanter

When you start thinking of it as a logic puzzle instead of a math problem that is the secret to solving a lot of math problems.

@RealRabidRabbit

I used to not like math at all. Now that I'm far beyond math in my studies, seeing these shorts every so often is actually very interesting!

@Shadow_walker1

Use the division rule of 4 to divide last 2 digits of the power i.e - 54÷4 = (4×13) + 2 »remainder in remaider table for base 4 the remainder colomn or the Square column has 6 . Hence 6 is answer!

@ChAdarshArnav

There are patterns in the units digits of powers for several numbers. Here are some examples:

1. *Powers of 2:*
   - The units digit follows a cycle: 2, 4, 8, 6.

2. *Powers of 3:*
   - The units digit follows a cycle: 3, 9, 7, 1.

3. *Powers of 4:*
   - The units digit follows a cycle: 4, 6.

4. *Powers of 5:*
   - The units digit is always 5.

5. *Powers of 6:*
   - The units digit is always 6.

6. *Powers of 7:*
   - The units digit follows a cycle: 7, 9, 3, 1.

7. *Powers of 8:*
   - The units digit follows a cycle: 8, 4, 2, 6.

8. *Powers of 9:*
   - The units digit follows a cycle: 9, 1.

9. *Powers of 0 (except 0^0):*
   - The units digit is always 0.

These patterns can be helpful when you need to quickly determine the units digit of a large power of a number.