What happens if you calculate 2^2^3 on different calculators?

[@abdullahleghari]

I was hoping to see some more programming languages, especially Java, and C#. Nice video, I could watch it for another half an hour without getting bored :)

[@World_of_OSes]

I didn't show other programming languages like C++, C#, and Java because they don't have a power operator, instead they have power as a function that takes 2 parameters, therefore there is no order ambiguity.

[@Theforgotten-b7g]

So (2^2)^3 will be 64 and 2^(2^3) will be 256. Different if 2^2^3

[@World_of_OSes]

In C#, the power is done like `Math.Pow(base, exponent)`, so you would have to put ether `Math.Pow(2, Math.Pow(2, 3))` or `Math.Pow(Math.Pow(2, 2), 3)`, so there is no way to just put 2^2^3 without specifying the order. Also note that in C# `^` actually means XOR, not power.

[@TheNumberblock3.275]

(2^2)^3 = 64 2^(2^3) = 256

[@IzzumiPoshaf]

Yes!

[@Wind2000channel]

Logically, neglect can lead to a difference.

[@OgBunnius]

this is why i was confused i was doing 2^(2^3) (cuz tetration)

[@maxdoescatsim]

@@Wind2000channellike a crime for something like negligence???

[@JustBlack4]

fr ok…

[@CantEscape1.4M]

some calculators apply (2^2)^3=64, and others apply 2^(2^3)=256 because some operating systems think differently

[@Cart1416]

aw man apple didn't think different

[@darkspine6710]

256 is the correct answer because of no parenthesis

[@jcaesar6017]

​@@bitonic589Should be the second one. The priority of exponentiation is done from top to bottom (aka from right to left if you're using ^ sign instead of superscript to represent powers)

[@Md.Mars69]

Why Did It Output 34 In My Calculator?

[@TON_618_BH]

@@jcaesar6017 Lucky for you, i have face moiji keyboard so yyou can imagine 2² There we got an exponent of 2 and 2 we always caculate exponent of exponents from the top number first, after some times it will get the finl exponent and then caculate it

[@4rxino]

Explain why 8388608: 2^23 is equal to 8388608. Because can't use multiple exponential that break a integer limit easily.

[@4rxino]

4:52

[@DavyB81]

That was due to a limitation of some kind? I just thought he screwed up when he was entering the numbers.

[@RussiaInfiniteBadlander]

@@4rxino he forgot to add "^" between 2 and 3

[@ThatRandomToast]

For Windows 10/11 Calculator, you should be referring to their app versions, as they're updated independently from the OS (via Microsoft Store).

[@sameerasw]

4:04 Actually macOS shows 256 in calculator as well as in math notes and spotlight

[@markusTegelane]

it looked like a very old version of Mac OS X, probably Apple did something that caused a change in the order of operations

[@sameerasw]

@@markusTegelane Gotta be.

[@Xpoint.ZeroSuou]

Yeah, newer versions of macOS started using the iOS calculator. iOS 18 gets 256.

[@citrus.airways]

@@markusTegelaneYep. OS X Mountain Lion is shown in the video which is from 2012 iirc.

[@Xpoint.ZeroSuou]

@@bitonic589 Yeah, the older version was.

[@edwardcap7]

According to the Order of Operations, there is a rule that states: --- *Exponential towers must be done all the way from top to bottom, so 2^2^3 = 256.* _This is also the case with operations inside exponents, as exponents act as a grouper._ _Inside operations should be done first before the outside._

[@Buckybadgerwisco]

FINALLY ANOTHER CALCULATOR VIDEO AFTER 16 MONTHS

[@blue_alan.becker__real]

NO WAY ITS HIM!!

[@Buckybadgerwisco]

@@blue_alan.becker__real how did you find me 😱

[@쉬릿-0_o]

j

[@uahnbu]

As quoted from the Wiki page about Shunting yard algorithm, exponent is evaluated right-to-left, unless you're using another logic that is not extended from such algorithm.

[@rtxagent6303]

It’s multiplication/division, meaning it’s what every one is first for those. Same applies for addition/subtraction

[@쉬릿-0_o]

😅m😊

[@rtxagent6303]

I think this comment was supposed to be a reply to another comment. Idk why it’s pinned

[@Yehor-v7y]

​@@rtxagent6303how do you accidentally not reply?????

[@rtxagent6303]

@@Yehor-v7y I don’t even know honestly. Maybe I should just delete this comment lol

[@Yehor-v7y]

@@rtxagent6303 no don't do it

[@technoWZ5598]

I'm going to make a video on dividing 0 by 0 on multiple phone OS's! You will see IOS, Android, and Windows mobile

[@Blackfromstickworld]

Imagine if one of them said 0 or 1 💀

[@JinWeiHii-ou1nk]

For react os you did 2 to the power of 23

[@vytah]

It looks like the second click on x^y didn't register

[@fbmrqs]

On paper, 2 to the power of 2 to the power of 3 (big two, small two, even smaller three) results in 256 due to the right-associative property. It's clever that some developers take this into consideration in their approach. However, the linear notation 2^2^3 is not standardised and may be interpreted differently depending on the application. Some calculators provide the result for one operation at a time by default, which is useful for most daily scenarios where you need live results after each individual operation. In that case, the oldest operations are always treated as though they are in parentheses, so typing 2^2^3 would be equivalent to typing ((2^2)^3), which equals 64. For a bigger example, 2^2^2^2^2 would be analogous to ((((2^2)^2)^2)^2), and so on. Both interpretations are perfectly valid when they match the usual calculator behaviour. Obviously, none of this applies to the ReactOS calculator, which is just rubbish.

[@inzaghiposumaalkahfi9650]

1:40 But now, the Calculator UI in Windows 10 looks more like in Windows 11, for the Latest Version.

[@edwardcap7]

This is because they're updated independently from the OS, thanks to them being UWP-embedded apps from the Microsoft Store.

[@harrisonrobins3689]

Now I'm wondering how different calculators react when the input is 0^0

[@fluoriteByte]

Undefined Error Syntax error Impossible operation

[@bummered7277]

​@@fluoriteByteor, 1

[@fluoriteByte]

@@bummered7277 yeah i haven't actually encountered a calculator that gives 0 or 1 for this lol

[@alternatedenz]

anything to the power of 0 is 1

[@harrisonrobins3689]

@@alternatedenz Not if the base number is 0. My calculator would say "0⁰ is ambiguous"

[@SourceEnginePlayer]

theres this thing that a lot of people dont seem to understand when it comes to PEMDAS, or whatever you learned. The most common method to remember the order of operations is Parentheses, Exponents, ***Multiplication, ***Division, ***Addition, and last but not least ***Subtraction. When it comes to an equation such as: [2 raised to the power of the value "3 + 1"], you solve the exponent first, because it is a grouper, just like parentheses and nth-roots, or even floor/ceiling brackets. The term "Exponents" simply means to compute the _function_ that of exponents. And in order to do that, you *_must_* solve the equation in the exponent slot. Just like you must simplify the bit inside the root first before you can apply the function. And, personally, I don't like it being called PEMDAS. The E is much more like FUNCTIONS, (such as nth roots, exponents, floor/ceiling, and so on), And the P is alot more like GROUPERS, (the stuff _inside_ the functions). This would be GFMDAS, and thats a little bit hard to pronounce, so I understand instead calling it PEMDAS, especially when you first start learning it. One last thing before I go, equations like 2^2^3 and others that are purposefully obscure are the reason that people refuse to do math. It gets dumb, because there is more that one "right" answer. This is why instead of bicker about it, mathematicians made proper notation for it. Instead of writing "2^2^2", you use the superscript (the term for shrinking characters and bringing them up). Instead of doing 3+4/2, they put 3+4 as a numerator, and 2 as a denominator. In mathematics, we push the boundaries, we HAVE to make shit up as we go along. The whole reason that = exists at ALL is because they got tired of writing "is equivalent to". ***Note: It is unclear whether to do M/D from left to right and not (M first, then D), as well as A/S. this is also why you eventually stop using the division symbol, and just use the fraction notation, as to avoid confusion. For A/S, its usually from left to right.

[@World_of_OSes]

Or you could just always use brackets whenever the order could be ambiguous

[@Dillon-2022]

About a few calculators, 256 is the correct answer because every calculator think differently: With no parentheses, a few calculators stills says 256. How to solve: (2^3)=8 2^8=256.

[@IzzumiPoshaf]

9:20 Copilot in your Computer is still the Old one?

[@World_of_OSes]

Windows 11 24H2

[@YukiceNightcoreOfficial]

Well if we do this on paper and not calculator, it should be 256. First, when doing exponents, we need to calculate from the top down, so 2^2^3=2^(2^3)=2^8=256. The calculator accepts the first two input and calculate it immediately, then add another input so it is actually calculating (2^2)^3=2^(2x3)=2^6=64 (don’t blame me if I got anything wrong😅)

[@spawnnumber2126]

1:43 why does it look like windows 11 calculator? Or did they update it to be the same on windows 10?

[@ThatRandomToast]

It's updated via Microsoft Store, which can be considered updating independently from the OS

[@yd59_yd]

What happen if you run Logonui in explorer in windows? (when you lock your computer)

[@World_of_OSes]

kzbin.info/www/bejne/rnOuhKmsfNyAY68

[@yd59_yd]

@@World_of_OSes LogonUi to the desktop screen but nvm i will do this in a virtual machine ty anyway

[@xdkristof]

The correct answer is 256, because with power towers, you go from the top down. But most calculators don't give a poopoo about that rule and do (2^2)^3 which is 64 which is mathematically incorrect, unless you put brackets around the 2^2 to signify that you ARE supposed to work from the bottom up.

[@VietnameseJokerTheZero]

I thought that’s only with tetration.

[@xdkristof]

@@VietnameseJokerTheZero It's also for exponentiation. You learn something new every day.

[@VietnameseJokerTheZero]

@@xdkristof ok I’ll accept it cuz if i argue i will be an idiot cuz idiots often overestimate themselves, and i don’t want to be seen like that, also you seem like a very big nerd (try to take this “nerd” as a compliment cuz i can’t think of any other words) so i will accept it.

[@xdkristof]

@@VietnameseJokerTheZero aight lmao

[@MuffinsAPlenty]

@@xdkristof As with any potentially ambiguous notation, a decision has to be made. Would we prefer "a^b^c" to be interpreted as (a^b)^c or as a^(b^c)? It turns out that it is more useful for us to take the a^(b^c) interpretation. This is because (a^b)^c can be written in a different way: as a^(bc). However, a^(b^c) cannot be written in a simpler way. So if we want to have notational simplicity as much as possible, we should interpret "a^b^c" as a^(b^c).

[@glennlouters4153-b3o]

Everything is 64! But some of they're 256!

[@trigonometrygenius]

4:48 What the hell is “2^23”

[@bitonic589]

Well in computers it is usually used as the XOR operation but it is usually used by humans to type exponents quickly like 2^8 instead of 2⁸

[@zaneatat]

This is why i ALWAYS use brackets, I don't trust my calculator to give me what i want

[@MuffinsAPlenty]

Thank you very much for doing this!

[@mateusdias1633]

Hi Stefan, I'm from Brazil. 🇧🇷 Btw nice video!

[@CybernetonPL]

my father figured in default windows calculator, 2+2*2 is 8, cuz it automatically calculates 2+2, then prints 4, and you keep typing the expression with 2*answer, which is 2*4

[@kalinkavelinova2529]

This is like a game of SET! Three features: Color(red,green,black,yellow) Shape(heart,diamond,club,spade) Number(1,2,3,4) 1=ace Example:Ace of Red Clubs Four of Green Diamonds Three of Green Hearts Ace of Yellow Spades Two of Red Spades Four of Black Clubs Two of Black Diamonds

[@Yehor-v7y]

huh

[@TheWatermelon699]

Bros hard drive is bigger than the biggest library

[@HalcyonMeteor72]

If the exponential tower has multiple levels, the calculation starts from the right.

[@williamthecoolboy]

Aren't the Windows 10 and 11 calculators the same?

[@SBETK2025Second]

hold+move is 23?

[@teemce]

In fact u can also "test" 2+2*2. When you typing into calculator string one by one it doest "look back". Kind of stupid video

[@Yehor-v7y]

Yes

[@animatedstatue]

ReactOS 💀

[@marciapaulagoncalvespinho]

in fact why do calculators do 64 and others do 256 because those that calculated well 256 because they go from right to left now those that do 64 and old models do 64 because they go from left to right

[@maxlad_yt]

when there is no PEMDAS applied, go from left to right, meaning it should be (2^2)^3=64 as there are no parenthesis, this question could be improved by removing ambiguity and adding parenthesis

[@rtxagent6303]

Order of operations states that you solve exponential towers from top to bottom. So 2^2^3 simplifies to 2^8 which equates to 256

[@klonoaf13]

This is why I always use parentheses.

[@SBETK2025Second]

why 2 ^ 2 ^ back 3 = 8?

[@Sonic21Rus]

Great video! So: 1. Some Linux calculators are good because they understand power chain rule as it should be. 2. Even Windows 11 calculator says it's 64. Let's hope Windows 12 will fix it. 3. Programming languages are good too in such expressions. 4. Special thanks to AI assistants for amazing answers about some calculators misunderstanding.

[@muhammaddevandra9983]

Some people said that Win10 and 11 calculators already updated, so maybe this is already fixed, but idk, I didn’t tried it before.

[@MatthewCenance]

Why are the results different? It's basically multiplication, it's not supposed to be different based off what order you do it in.

[@DavyB81]

Did you not learn about Order of Operations in school? Of course it matters what order a calculation is done in. Just read the AI responses, they explain it well enough.

[@bitonic589]

Obviously it matters the order. How are YOU going to solve 6÷3(8+2) There are many wrong ways to solve it. You don't just make up your own order

[@World_of_OSes]

With exponentiation it matter which way round you put the numbers. 2^3=8, but 3^2=9. With multiplication it doesn't matter about the order, 2*3=6, and 3*2=6. With addition the order also doesn't matter, 2+3=5, and 3+2=5. This is also why exponentiation has two opposites (log and root), but multiplication only has one (division), and addition also only has one opposite (subtraction)

[@MatthewCenance]

@@World_of_OSes Why does exponents change if you change the order of them but not multiplication?

[@World_of_OSes]

@@MatthewCenance Tetration also changes, 2^^3=16, but 3^^2=27

[@lukchem]

Please also include the new Apple Calculator (iOS 18/iPadOS 18/macOS Sequoia or later). It now calculates 256. Edit: Since you are also including AI it would also be cool if you included different Siri/Apple Intelligence Versions. (Mainly iOS 18 or older; iOS 18.1 and iOS 18.2 or later). Maybe even include the old google assistant.

[@edwardcap7]

He can't do that, sadly. His PC is just too outdated to run macOS Sequoia anyway.

[@gengar-1997]

2^2^3 equals both 64 and 256 at the same time, it's just a matter how you interpret the math problem

[@FocusLRHAP]

Can you do highest factorials on calculators?

[@World_of_OSes]

kzbin.info/www/bejne/Z5XMioptmbudfZI

[@francescomelchiorre7557]

Can you do the same thing but try to do the square root of -1 ?

[@World_of_OSes]

kzbin.info/www/bejne/m5jGhZubmsySpaM

[@francescomelchiorre7557]

@World_of_OSes thank you

[@heracleumsosnowskyi]

What happens if you 6*9+6+9 on calculatirs

[@rtxagent6303]

It’s equal to 13^2 - 100

[@EdMatthewMorales]

4:53 you did 2^23 instead of 2^2^3

[@World_of_OSes]

I clicked the ^ button, but it didn't register.

[@Dillon-2022]

Is it 64 or 256?

[@asheep7797]

Do 2^2^2 for more consensus. (the only outlier would be if they say 4194304)

[@reizinhodojogo3956]

there are 2 ways the calculators solved this: 1. as its a power tower, it solved 2^(2^3) which is 2^8 = 256 2. as it solved at the same time the user typed the inputs, it did (2^2)^3 whi h is 4^3 = 64

[@greenstillplays4913]

Make a mac calculator .exe file please and send me the Google Drive link

[@pelaajahacks8358]

which ones correct?

[@isaacsamuelsson9885]

sqrt (square root) cbrt (cube root) tsrt (tesseract root)

[@World_of_OSes]

cbrt = root[3], tsrt = root[4]

[@Bluey.C64]

How did you TESTED?

[@World_of_OSes]

?

[@REALStickmanGuy]

What if you 1-8= in different os

[@somebodyrand0m280]

next up: what happens if you 0th root on different calculators

[@Johnvids-g3o]

2^2^3 is 256 beacause it's rightmost exponet first so: 2^(2^(3)) --> 2^(8) --> 256

[@douggale5962]

256 is correct, but most of these don't even claim to do order of operations. It's like complaining that 2 + 3 * 4 = 20

[@BoyAnMinhTrump]

Windows: WTF 2^2^3 = 256?!? No! Linux: No, 2^2^3 = 256, not 64!

[@TheWagonroast]

Doing 2^(2^3) is the right way though, right? That’s how tetrations are calculated, which is why 2⇈5 is ~10¹⁹⁰⁰⁰ instead of 65536

[@bitonic589]

Correct

[@emikosh2015]

2^2^3 is P1 was 64, P2 was 256

[@emikosh2015]

ReactOS is the only one who got INCORRECT

[@DogesArePros]

2^23 and 2^3 for react os (errors)

[@thecyanlife]

so.. what's the correct answer?

[@World_of_OSes]

7:38

[@AX_-]

256

[@steve_1507]

It depends on the order in which the result is calculated. If I do it im my head, I get 64

[@erikkonstas]

In languages that have a power operator it's right to left, so 256.

[@thecyanlife]

@@World_of_OSes i see! when just doing 2^2^3 i got 256 but when i do 2^2 then 4^3 ( (2^2)^3 ) i got 64 so it depends, the correct way according to chatgpt is 2^(2^3) but reactos doesn't support multiple "to the power of" so it did 2^23 instead of 2^2^3

[@55037-r]

Now try calculating triple factorial of 3

[@TheYarikishere]

2^ (first) 2^ (second) 3 is equal to 64

[@Odswietny]

256 (Samsung Calculator)

[@World_of_OSes]

5:28

[@Odswietny]

​@@World_of_OSesI did it on One UI 5.1.

[@bitonic589]

​@@OdswietnyLol samsung is wrong

[@FRKNGDN]

did you notice the rad and the deg on the video??

[@Nebulisuzer]

rad - radians deg - degrees

[@Paulo-c3n]

reactOS calculator is tweaking 💀

[@solomoncyj]

you forgot wolframalpha and desmos

[@fjvnsphones2025]

VIVO ANDROID CALCULATOR: 2^2^3=256

[@jackncharliefy]

It’s either 64 or 256.

[@bitonic589]

Wow very helpful FYI it's 256

[@samanthajean229]

Worlfram alpha: you what?

[@honor_gamer]

ReactOS Calculator seems interesting on 2²³ is that ReactOS Calculator can do once not twice. Samsung Android Calculator made me laugh, without braskets is now scientific. A Python indeed ** equal as ^, what an new discover... A fair enough of ChatGPT. (Some Calculators i don't comment besides, they're kinda getting similar like Python and/or JavaSript, so yeah)

[@duplicake4054]

Yes!!! GNOME calculator got it right! Take that KDE

[@TheYarikishere]

2^2=4, 2^2^2=4^2=16, 2^2^2^2=4^2^2=16^2=256

[@TheYarikishere]

2^2^2^2^2=4^2^2^2=16^2^2=256^2=Big number 256^256^256=φ∞1(an big number that we cannot calculate)

[@TheYarikishere]

φ∞10=5.28819328e3 232 323 φ∞100=1.82993180923e628 819 322 φ∞1 000=1.72833019ee12.88 φ∞1 b=7.88x 10^10^10^32.22 φω1=giant number that we cannot calculate but only these φ∞ (φ∞33.2 b) φω10=φ∞172.2 De φω1 b=φ∞10^^383 φω1 De=φ∞10^^^28.8 φω1 Ce=φ∞10{3 200 000}10 φΩ1=φω2 Ce

[@TheYarikishere]

φΩ10=φω1.024DDeDu φΩ100=φω8.192NoNgSxg φΩ232=φω11.11OcDeOcg (Maximum limit of Unsigned 1 024 bit integer number) φΩ1 b=φω10^^250 φΩ3.333 b=φω10^^10^10 (Signed 2^32 bit integer number)

[@lucifergamingfr7180]

The correct answer of 2^2^3 is 256 You havn't tried that operation in physical calculators

[@LemonPlaysAmongUs]

I’m in 3rd grade, I just learned 3^4

[@naga_serpentis]

I'm here! :3

[@Ulti_bfdifan]

Tetration be like: ⁴4=4^4^4^4=4^4^256=4^4 billion= ????

[@4rxino]

256 mine

[@natthanonknot2974]

I'm quadriple unlucky becauce of 4 ads

[@Meme-my-pebble-Shorts]

Yessir

[@kalinkavelinova2529]

2^2^3=64 Windows XP knows the right answer!

[@bitonic589]

LMAOOO ur stupid asf It's 256 ask your math teacher

[@Hlorovodorod_official]

256...

[@Carlang29]

update gave me calculator for some reason

[@สุรดาสรศักดิ์-ง9ต]

2^2^3=64

[@CantEscape1.4M]

it's 256

[@isaacsamuelsson9885]

2^2^3=64 2^(2^(3=256

[@liamsstuff_1]

I am the 2,312sd person to watch this video!

[@wingmansfury]

16^2=256

[@symaski62]

ok google steets :) 256=2^2^3 ok 256(2^2^3) not () 64=(2^2)^3 ok 256=2^(2^3) not () ty calculator

[@TinyLiamMichael]

2^2^3=256

[@it_is_i.mp4]

2^2^3

[@Nebulisuzer]

256

[@penguincute3564]

DUDE STOP DOING (2^2)^3

[@swisse213]

2^2^3=3

[@bitonic589]

Lol did you use XOR operatir

[@swisse213]

@@bitonic589 C++

[@saletefernandes-wn1gv]

(2^2)^3=64😂😂😂😂😂😂

[@callmehaardic]

i got 81😭

[@edwardcap7]

How?

[@JustBlack4]

2^2^3=256 i autocorrect

[@Xirtenh993eGYh12]

Who's with 64 gang?! 🙌

[@bitonic589]

Anyone who hasn't learned repeated exponents yet. You're wrong. This is an established math law, repeated operations are done right to left

[@BehruzZoirov-if5kw]

explanation (2^2)^3 = 64 And 2^2^3 = 256 😅😅😅😅

[@World_of_OSes]

2^2^3 = 2^(2^3)

[@BehruzZoirov-if5kw]

in fact, all types of calculators are working, you are calculating two types of things

[@teemce]

​@@BehruzZoirov-if5kwthis. You typing one by one not whole string

[@BehruzZoirov-if5kw]

@@World_of_OSes of course

[@Arkid77777]

You mean 2^2^3 = 64 and 2^(2^3) = 256