@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.
@mecden1766