Comparing Exponents Math Hack | Algebra JusticeTheTutor

[@jaylegoninjago5615]

I just said 3³³ cause higher exponents really make a difference

[@chipseez3573]

Whatever number has a higher exponent that is the bigger number

[@Jacob-vo6dw]

@@chipseez3573 really? So then 1^100000000 is more than 2^2 ?

[@Jacob-vo6dw]

Haha just kidding, I think you meant the same number base (forgot what it's called) but with different exponents

[@Sh4dxwxz]

Same and I'm skeptical that the thing he did works but now I need to test it 🧐

[@orngng]

@@Sh4dxwxz well i dont know what people learn in US but ill just tell whats going on. laws of indices are applied here. (a^m)^n = a^(m*n).

[@icedlemontea6042]

3³ Oh it's 9. Oh, wait. Nevermind

[@noobaccount7580]

Lol I forgot too

[@adamjohnson0]

3x3x3 is 27.

[@MyFunWorldNet]

@@noobaccount7580 me too 😄

[@curiosity19]

Same here 😂

[@CouncilOfTheLostGoats]

I had to restart the video because of that. Was like “No! You’re wrong!”
…I was wrong

[@nortexd5682]

I love to see education on social media instead of nonsense Thank you for contributing to a better society

[@101doreen]

Same

[@Manny73211]

Lol as long as there's some fun stuff mixed in. I'm fine with vsauce, Mike aben, and gohar khan

[@killx5013]

Yeap way better than all the brainrot thats on every other social media app...

[@goowoo69420]

This is still nonsense to me since it will never help me unless I go down a STEMS degree really ☠

[@goowoo69420]

​@@killx5013 Math is absolutely brain rotting, well at least for me who's an artist. I'd rather do 20 pushups, for record I cant even do one pushup LMFAO

[@shruttimaehersa3422]

I am not even in a math-related field, but I love seeing these problems, and feel like I am learning something.

[@m17srgaming]

Such a good tip, such a shame that ill forget it right when i scroll to the next video😭

[@LetsTalkMusic2]

Wait what this is simple maths how could you forget it ?

[@gunthegoldminer8119]

It's a terrible top. Literally all you need to do is see which exponent is larger.

[@dickinson2204]

The world sucks man

[@m17srgaming]

@@LetsTalkMusic2 if im going to be straight with you, im a freshman so i either havent learnd it yet or they didn't teach it

[@LetsTalkMusic2]

@@m17srgaming in which grade are you in ?

[@TheBluePhoenix008]

I like how there's a "neither" option rather than a "they're equal"

[@Matic762]

Yes becouse both cant be “larger”. If both are the same than than “neither is larger”.

[@ggdk2865]

"Which is larger? Neither". Makes total sense.

[@asneakysausage]

?

[@swimfan752]

Neither literally makes more sense

[@Similo]

Scrolled down for this comment 😂

[@TheSilentMajorityNation]

I dont even need to study this for any reason, but I watched it all the way through. Never stop learning, folks.

[@ronniechilds2002]

I can dig it. I'm sorry to say I never learned math even at this level, working with exponents. It's great to pick it up a little at a time on videos like this one.

[@AbhishekKumar-yp7si]

As a indian upsc aspirant , thanks sir ur maths hack becom helpful for quickly solveing problems and numericals, also time saving

[@unknownperson-zx5lo]

U kidding me? Am a jee aspirant and these things were taught to us like when I was in 8th or something

[@sahilverma7045]

We all were taught a lot of things but very few remember basic things for a longer period of time, what you studied in 8th grade is fresher to you than for him.

[@unknownperson-zx5lo]

@@sahilverma7045 I got ur point 👍👍

[@nuclearwarhead9845]

Why do you need to get taught this it's literally common sense​@@unknownperson-zx5lo

[@Dolceandgabana]

Haven't touched this kind of maths in years.. but you explain it better than I remember ever being taught.

[@anonymousmuffin956]

they definitely teach it this well, at least the foundational bit. you learn how multiplied exponents work pretty soon after exponents.

[@KTEAM938]

The five is more bigger

[@Dolceandgabana]

@@anonymousmuffin956 maybe you did, but my teachers were incompetent as they get. Don't pretend like you got the same educational advantages as the rest of us. That's an ignorant comment.

[@StoryArtsConcepts]

@@KTEAM938 not in this case

[@bekoshka3678]

​@@KTEAM938 higher exponents make a difference, so even 2^33 would be bigger than 5^22

[@AQUANAUT18]

These are the kinds of questions on the “math” section of the SAT that dont even really test your knowledge of math but your creative problem solving. Which would be fine if the math you learned in school didnt do the exact fuckin opposite

[@sawc.ma.bals.]

Exactly

[@cj123pro5]

What it's not even that creative...

[@cuntress9000]

lmao literally like they make you depend on memorization and doing the same problems over and over and then the standardized tests are the complete opposite and they wonder why kids do so horribly on them

[@denalv3070]

@@cj123pro5 while you're not wrong, it's the fact that most math classes don't really teach you to think outside of the box. They teach you formulas and how to apply them correctly.

[@shmubob]

math is creative problem solving
when you are taught formulae to memorise in math you are being lied to about what math is.

[@T0mBr1dg3]

Dude the algorithm actually did something good for a change, I’ve seen enough of your videos pop up that I was able to answer this before you explained it

[@jaysonjdbeck6574]

You don’t understand how much this helps me in advanced math, it’s not that it’s hard it just takes a lot of time. This has made it soooooo much easier to do exponents

[@denzelwright8475]

My dumbass in school: "I feel like the test writer is trying to be ironic so Imma pick the smaller base number."

[@monikatanwar9751]

😂
It's quite simple just divide the powers with their HCF

[@margaretgarana911]

But we would’ve been correct. Test taking skills matter

[@skychampi0n301]

@@margaretgarana911 ye but then can u really count on a test writer being ironic if their job is to sit on a desk and think of math and which number is bigger and stuff like that, I mean that’s such a boring job can a guy with that job really be ironic

[@gymnasticsgirlie0647]

Yea but then you worry what if they predicted that people would think they were being ironic and then didn't be ironic. Or what if they predicted that and then decided to be ironic? And so on - it's a cycle that never ends.

[@Heilbronn023]

3 is larger than 2 so i pick B

[@AbdullahLegend1]

we've getting into this stuff in school lately so i really appreciate that

[@Iampaztro]

Wait a second that name seems familiar. You from RT?

[@AbdullahLegend1]

@@Iampaztro i don't know what rt is so probably not lol

[@Iampaztro]

@@AbdullahLegend1 makes sense just a coincidence then

[@joeshcmoe3622]

Ignor home he’s wrong

[@StoryArtsConcepts]

@@joeshcmoe3622 nah he’s actually right

[@samratrudra5034]

Could also include some IIMCAT Quant questions. It is an Indian entrance test but the questions are really tricky yet interesting to solve. Hope this reaches out. 🤗🤗

[@user-qr9qj8wd2f]

I want more educational videos to flood social media to replace all of the brain rotting content out there ❤

[@daddy_myers]

The fact that this channel gets lots of activity through comments, likes and views gives me hope for this world.

[@Real28]

I feel like I'm pretty good at Math and have a lot of tricks but dayum, I wish I had these back in HS.

[@Ryan-lh1np]

@@ArtAlpha108 I'm guessing you're in algebra. Honestly for a lot of it you can just repeat a process. Think of all the manipulations you can do to some equation, and go thru them to see if it'll get you anywhere. Look for things that let you factor a quadratic, an (a^2 - b^2), or to pull something out from everywhere into parentheses. Speed comes with practice and time. If you're in pre-calc or geometry then it's a lot more understanding the concept, most trig functions.
I can't really give more specifics unless ik the exact class.

[@prafulyadav661]

@@ArtAlpha108 really,it's just about clearing ur basics of the concept, practice is secondary,first make sure u understand what it actually is without trying to solve it.

[@purnendusharma1383]

Its in class 8 NCERT book

[@swimfan752]

Lol they taught this in HS. Maybe even middle School actually

[@MiaMonique]

Finally something on social media you can actually use. Now where in life can I apply this.

[@sms17762000]

I love that you keep making videos on simplifying exponents. As someone else committed if I'd only seen you make a video on this topic once or twice there's no way I'd remember.

[@AZEOforreal]

Calculus students be like “first, let me cancel out the number on one side by multiplying it by a log times it’s base…”

[@shadowninja8011]

Except no. Me a previous actual calculus student that spent 2 and a half years studying just that and classes that used only that.
*looks at numbers* That 33rd power is such an order of magnitude larger than the 22nd power it will be bigger, their base numbers aren’t much different than each other so they can ignored for the most part.
Most of us hate logs. Logs are stupid, they suck, and most of the time if your not actively being taught them you’ll almost never see them again except in speciality fields, even then they aren’t that common.
Integrals also suck but they are common as shit

[@variamente6855]

@@shadowninja8011 no, all of us hate logs

[@adaelasm6467]

@@variamente6855 what’s to hate about logs? They are extremely useful and quite simple. Most machine learning algorithms use them and they are the basis of a lot of modeling.

[@variamente6855]

@@adaelasm6467 they are useful, doesnt mean that we like doing it in exams 😵‍💫.

[@AZEOforreal]

@@shadowninja8011 it was a joke. As a current calculus student, we had gone over logs again and were refreshed on it, so it’s quite common in my brain right now. That’s the joke. I understand you take different routes to get the answer, in fact, when I was solving this problem I saw the commonality that 22 and 33 both had a gcf of 11, and I solved the problem accordingly. Was just a joke.

[@ctotheh3327]

From the 3-4 videos I’ve seen from you, you’ve given me basic problem solving in a very easy format to absorb

[@JusticeShepard]

Thank you so much! I’m here to help 😎

[@ralchadlacanlale6886]

@@JusticeShepard tell me the game

[@armofknight9994]

For those who dont understand, basically just look only at 5² so 5 x 5 equals 25 and then just put the "¹¹" same thing for the other. I hope this helped.

[@TheGenerationX894]

Why 11?

[@nivedssajith8880]

Cus both the powers have 11 has a common multiple (atleast in this case).

[@turinggirl6432]

I love you solving algorithms 🥰

[@noahbodycares3005]

“Seems imposible” but the answer is instantly obvious

[@ruzreuben9755]

Guys stop saying it's easy to estimate the answer. 3^33 < 5^23 and 2.9^33 < 5^22 < 3^33! Small differences in exponent make a huge change!

[@fcturner]

You mean base number. Pay attention please :p

[@teanbooks9539]

I wish my math teachers in my student years were this articulate. They were good at math but terrible at explaining the math works. Now I am almost in my thirties 😢

[@teenniche]

ruclips.net/video/y2yo6MRm_Zc/видео.html
Best Elimination solution

[@frost5443]

you could actually do this by breaking down the exponent with prime factorization, picking a common number and then multiplying everything else together

[@gyul6380]

Me, not a math major consistently getting these math tutorials: *"Interesting"*

[@pastelokami]

Me who's probably gonna be a math major who's finally getting good tutorials: YES

[@Weeb_Goblin]

I had one of your shorts recommended like an hour ago (x^x=2^2048) so I took what I learned there and applied it here and got it right

[@paulushimawan5196]

I used logarithm on both problems and it still works. (I memorized log 2 and log 3)

[@user-zl9dx4id2g]

Same I saw that video like 25 minutes ago🤣

[@cewi7451]

I’ve learned more about math in his shorts than in all the years in school 😂

[@lordofskag]

I actually knew how to do this before he explained im so proud of my simple math skills now

[@jimyori24]

Very interesting. And one request. Please increase volume. It's not sufficient. Thnku

[@Daethdemon]

Honestly, thank you i watched this while in school the other day and it helped me a lot.

[@Martian74]

I'm always coming across these questions in real life. At the supermarket they have 2 packs of sugar the same size but different brands and they price one with a log value and one with an exponential function and I have to work out which is cheaper.

[@NexusBecauseWhyNot]

Trueeee I hate it when they throw in an e^π into the price smh 🙄😤

[@weallwould7246]

It’s teaching you how to problem solve and think critically, which is a valuable life skill. The problem itself doesn’t matter as much as the skills needed to solve it.

[@Martian74]

@@weallwould7246 I learnt that in school and during my engineering degree. Real life doesn't need that stuff.

[@weallwould7246]

@@Martian74 real life doesn’t require problem solving and critical thinking? Maybe yours doesn’t, but mine certainly does.

[@igniter_01]

@@Martian74 we don't need anything for "real life". It's just about how we lead our life, depending on that we will use different knowledge

[@realtrayy9045]

I feel like it could have been a little simpler. I was taught that the exponent is basically the number of zeros along with the number so the higher exponent is always larger in volume

[@DaedalusTheInventor]

Logx is increasing function. Take log for both thingies. 22log5 approx equal 22×0.7 = 15.4. 33log3 approx equal 33×0.48 = 15.84. as f(x2) > f(x1) so x2 > x1. Thus 3^(33) is larger. This was done knowing you know approx values of of log2, 3, 5 and 7

[@ILovePanStan]

Or you just do what he said

[@JustLinuxMan]

Oh wow, I never thought of it that way! Thank you!

[@spaceaddict5484]

Im loving these videos. I haven't done math in ten years since I graduated highschool but it was always one of my favorite subjects and I love the simple problem solving skills you show. It's good brain exercise.

[@KTEAM938]

You know its shit or not?
The five is more bigger

[@RisingwoodsGal]

I love working with and teaching exponents (and logarithms. )

[@kheshi6238]

We literally studying it right now and these stuff was always pretty hard for me. Thank you for teaching me to this method, I'll defenitely use it. God bless.

[@timioged9294]

For me exponents were the only easy few supjects on gr 9 math but make sure to keep studying and you'll become great at it 💪

[@purukrishnamurthy2960]

3^33 is higher, common denominator of powers is 11, used to bring both to the same power to compare

[@theodom1858]

Yeh… that’s exactly what he did Einstein

[@purukrishnamurthy2960]

@@theodom1858 did watch his video, I wanted to attempt it myself Neils bohr

[@Derplie]

if e

[@thewitch2810]

Instant sub. I suck at math so I need this channel

[@Sasha_fox314]

Yaaay Im so happy to get right at least one of those internet math problems! :DD

[@Sasha_fox314]

@@xskulltrooperx1508 тим часом я, українка:
Бля це сарказм чи що?😂😂

[@imgingergiraffe3731]

They should have made it tricky. I just guessed 3³³ was bigger because of the much larger exponent, I figured it would be close though.

[@Andrewkosche]

Well if it was 5.5 then that would have been bigger so you have to be careful with that logic

[@rayane--21pilots8]

Well u can also do this:
5²²=e^(ln(5²²))=e^(22ln(5))
3³³=e^(33ln(3))
And then we compare 22ln(5) and 33ln(3). the problem is u need calculator to know that:
22ln5=35.4
33ln3=36.25
And u know that 3³³>5²²

[@purvardhmeshram2151]

Thats what i did

[@kimmyera174]

I had recently relearned about the whole simplifying exponents to help tutor someone. good to see and remind me, again lol :p

[@Stompii01x]

I love these videos, keep em coming mate!

[@KJ-yises]

I need more of this

[@richardkingham7183]

Very clever skills but slow down as I struggle to remember it at such a quick pace

[@yeungtszhangyeung708]

Thank you man, I learn the trick on your previous video

[@TheSaxAppeal]

THESE ARE THE TRICKS I WANTED IN MATH CLASS

[@boldizsarsandor6722]

This is basic math, it is teached in school . This should be known by everybody.

[@forcelifeforce]

Stop yelling your post in all caps.

[@forcelifeforce]

@@boldizsarsandor6722 * *taught in school*

[@randomstuffprod.]

It is taught in Math class.

[@phuaL]

I don't think you paid attention in math class

[@Deaddev1]

Option C is just as useful as me

[@danielthemaniel3856]

Well it would be the right choice if they happened to be equal. For example 4^4 = 2^8 so you can have different exponents and bases being equal

[@benjaminbittner6082]

Hey bro I'm here to talk if u need😂

[@liquidmark5081]

Ok, I was able to guess right based on first sight. It seemed pretty clear to me.

[@donfisher8035]

This is kinda addicting. This seems more realistic than most politicians.

[@mathslover2767]

Meanwhile
Log: am i a joke to you

[@imdaworst1559]

This problem is probably for younger students who haven't learned logs

[@muhammadfahrimuharram74]

dont you still need to approximate the log values

[@R1ester]

What's log

[@user-cx5ju8vf3b]

@@R1ester logarithm

[@edulogy874]

@@R1ester Logarithm

[@user-ck1ol2ux5o]

Dude, I’m literally in shock right now

[@cmfsobl]

Wow I’m really learning watching these. I was able to figure the equation breakdown

[@likeabosslikeaboss8782]

Either the test is dumb or i'm just a freakin genius lol. You literally don't even need high school math for this

[@paulushimawan5196]

Either you're a math lover or your IQ is higher than 120, or both

[@sakshammaheshwari6129]

Me an asian: i calculated the values before u showed me the numbers

[@FloreFaune]

Teach me ur ways.

[@sakshammaheshwari6129]

@@FloreFaune u must meditate 69 hours a day and then practice high level maths, multiversal level for 420 hours... Pretty easy if u ask me

[@Iasked-jo3qs]

@@FloreFaune Obtain the ultimate arithmetic knowledge and become asian, then commit un-alive.

[@JeanLucCanas]

I watched a couple of your videos yesterday and was very happy when this one popped up right now and I was able to figure it out based on what you taught me yesterday.❤

[@S.k.y.n.e.t.]

Nice explanation. Though if an adult thought this was impossible without a calculator, I'd question their education. 😂

[@TensorWave]

I solved this in less than a minute without using a pen or calculator. Here's how I did it. Apply log(base 3) on both sides. U get 22log(5)_3 on Left side and 33 on right side. Now, we focus on log5 base 3 term on left (specifically if it's greater of less than 1.5, as that will decide if 22 multiplied with that term exceeds 33 or not). 3^(1.5) is 3√3, approximating √3 as 1.73 we get 5.19. since 5 is less that 5.19, the term log5 base 3 is smaller than 1.5, hence 22 x log5 base 3 will be smaller than RHS which is 33. Ezpz..

[@rlcmza6705]

Me too lol

[@goofi78]

At 44 years of age, every time I watch one your videos, I wanna go back to school!

[@JusticeShepard]

This made my day!

[@Fire_Axus]

Dont want to go back to school, its a hellhole didnt you forget?

[@rycycle413]

Thanks man! I can't wait to use this tomorrow in my everyday life!

[@brutheius1054]

When i was in highschool. Almost 10 years ago now. I did math like that, by breaking down problems. The teacher got mad at me for not doing it the way she taught us. Good times

[@punkerts7711]

3^33 thanks

[@ExistJustToGiveYouNightmares]

Me: 👁👄👁 *takes out calculator*

[@grannierealness3893]

Perfect breakdown 😊

[@AlphaGamingImpact]

That’s why compound interest is important 😂

[@omou2dunsibe]

Yes. I agree. It means it wouldn’t really matter so much how much you put in, but the compounding helps your account to grow exponentially🥰

[@jaylev85]

25^11

[@everythingbrain4960]

It was a fabulous method.
Just equate the powers (point yo remember).

[@CRONCHBOIWATER]

ive seen your other videos and used this technique before you explained it and got it right! thank you

[@flirkvslife2385]

Question: can we also make both have any power as long as it’s in the limiting number? I mean, can it be any exponent of 22 and under, or is solving for a common factor the only one that works

[@carultch]

As long as both bases are e or greater, then a^b will always be less than b^a, given that b>a.

[@Ry91415]

Ohhhhh this is what the teachers mean when they say “show your work”

[@carultch]

What did you think they meant?

[@EverybodyIsOnSteroids]

Finally a math teacher we all deserve.
Being young kid I hated math, had problems learning it, despised it.
It was only in my adulthood I’ve realized it wasn’t the math that I hated. It was them sh*tty teachers I didn’t like.
Math, physics and chemistry is my newly found love🙂❤️

[@aeyshakhan3136]

Thanks for the videos learning maths is good though I won't use it in life but good to know.

[@smallpebbles22]

Wow such a short & simple explanation :)

[@kevinireland8020]

I would place this in the useless info bin.

[@Adib-ui1bc]

Title:iS tHis eVeN poSsiBle??
Actual math problem:Asian grade school questions

[@sayanmallick1473]

Title: iS tHis eVeN poSsiBle??
Asian students: is tHis eVeN a question??

[@paulushimawan5196]

As an Asian I approve this

[@Pandora234able]

Eh, but that’s 11 orders of magnitude in difference. The base difference won’t make much of an impact.

[@Userrrrrrrrrrrrrrrrrrrrrrrrr.r]

If it were 2^33 it would be less

[@Pandora234able]

@@Userrrrrrrrrrrrrrrrrrrrrrrrr.r Yes, anything between 1 and 9 is still within the same order of magnitude as a base.

[@wavez4224]

Wdym

[@ssjbevegeta3008]

Unless the base is too different

[@Pandora234able]

@@wavez4224 if the number is above 10 or below 1, you change the exponent accordingly. I’m saying if the exponents are close, or the same. It matters. 9^22 and 8^23, you know

[@NinjaBear1993]

Thats how i saw the math. Breaking the exponents down with its rules and manipulation to see it easier.

[@dracekmalymyodracek]

I saw your other video few shorts before. Now it was piece of cake to solve this. Thank you for teaching me this trick 🥰

[@benjimain6]

Ah yes, 'brackets' make it so much simpler 👍

[@Anonymalic]

Well I thought it was obvious…

[@branthebrave]

5²³ is bigger. It's not obvious.

[@johnpaulyoshida5690]

I think i remember from one of my math classes that at somepoint the base of a number stops being significant so for generalized questions like this you can assume that the difference between 3 and 5 is insignificant and you can just say they are x and focus just on the exponents. Thus the question just becomes which is bigger x^22 or x^33 and that question is significantly simpler.

[@ayomahniqqa627]

Bruh..i am frm idia saw the question and answered it right away...💀 preparing fr IIT also

[@arush_zyt]

Powers make alot of difference bro this is easy af

[@chaos-strife5172]

Exactly, it’s f.cking easy

[@marshalaster1201]

Thats so easy

[@maytricks3969]

Who asked 😂

[@theottoboy5138]

yeah everyone knew that in 8th grade

[@abhiii1439]

Wish I had a teacher like you!😢 Would have been soooooo good at math😍 genius!

[@colinhim9]

i have watched your videos before np tried figuring this one out on my own and i did exactly what you did and i got it right! 😊

[@yoya1117]

Example 3*(33)
The exam: 56*(76.4)
Me: 👁👄👁

[@shahahdhs]

my 5th grade brain who only learned exponents last week: *wot?*

[@venilin5214]

exponents are weird

[@venilin5214]

5th grade was so much fun man. enjoy your time

[@not_meepopopopoeeeeeadas]

Just a rule of thumb, higher exponents would mean higher values. except for 1

[@manuelquitevis6794]

Thank you for the knowledge imparted to me by you

[@akuoumaru7562]

Math hack? This is literally standard knowledge they teach you

[@Ayumu1831]

Tbf, if he markets it as a math hack, kids that wouldnt have understood it will probably more likely get it just cos it has the word “hack” in it, why do you think “life hack” vids do so well even tho most are bs lol

[@akuoumaru7562]

@@Ayumu1831 true, but still, this is somethin everyone should know

[@cheese7119]

@@akuoumaru7562 I'm surprised that alot of people in the comments don't know the difference between exponents and multiplying...

[@youtubestudies4173]

I just want to know what you mean by *Neither* 😂

[@pirateofthebeans_2393]

Their equal.

[@youtubestudies4173]

@@pirateofthebeans_2393 hmm makes sense

[@xXJ4FARGAMERXx]

If (A > B) is false and (A < B) is false than the only possible statment left that is true is (A = B)
∀A, B ∈ R, where R is the set of real numbers.

[@ggdk2865]

That neither number is bigger than the other.

[@user-jv7so4rk4z]

Clear and concise Bravo

[@dantosisch5140]

In the 2nd step you could also do the eleventh root of each number and compare them

[@justinminer1354]

Woohoo I guessed correctly! I'm good at math 👍

[@duncancofell8960]

Me: 5 is bigger than 3…. Well I have my answer >:)

[@fakeemail4799]

I saw one of your videos like this earlier, so I did this one in my head and got it right. I’m learning!