Much quicker and easier to just treat 5^11 as 5^4 x 5^4 x 5^3, which is 625 x 625 x 125. Multiply 625 x 625 and then multiply that product by 125. Then subtract 9. This is much faster than the method shown.
@trwent4 ай бұрын
Your last sentence is redundant.
@aisawaloki15714 ай бұрын
Yes, calculating 5^11 by hand is indeed quite easy
@siuwingyeung18983 ай бұрын
An easier way to handle a number x 125 is to multiply the number by 1000 and then divide the result by 8. E.g. 496 x 125 =496000 ÷ 8 =....
@manishbhoola3 ай бұрын
Video is much more "simplified" as per ask
@alan686813 ай бұрын
Not a good way to solve the problem
@camel53543 ай бұрын
This video is not about solving the equation, it is teaching us how to make a long form video with simple maths problem 😂
@superacademy2473 ай бұрын
I appreciate your perspective! 🤩Thanks for your feedback! 💯😎
@camel53543 ай бұрын
@ just kidding ya lol😂
@The_Esemor2 ай бұрын
Z😂
@ronaldmcyr1564 ай бұрын
Takes less time to just multiply out the numbers.
@frankcoverjr.-jz3ne4 ай бұрын
Thank you! I did it in at most 3 minutes.
@factnfluent67162 ай бұрын
Exactly, I was gonna say that, too
@jlinky2746Ай бұрын
lol yes
@michaellockett4044Ай бұрын
It's about the algebra, not the fastest route
@rogerphelps99394 ай бұрын
Riduculous. Making a meal of an extremely simple problem.
@dalepeters49274 ай бұрын
Explains why Stanford is down the tubes?
@bobgreenfield91583 ай бұрын
They are woke and ElGeeBeeTeaWue. @@dalepeters4927
@李清士-x8j2 ай бұрын
Indeed
@tunneloflight4 ай бұрын
After puzzling over this, the simplest solution seemed to me to be E = ((5^5)^2)*5 - 9; 5^5=3,125; so by long multiplication 3,125*3,125 = 9,765,625 then 9,765,625 * 5 = 48,828,125, and finally 48,828,125 - 9 = 48,828,116; or written out using segmentation and group multiplication, 3,125 * 3,125 = 3,000 * 3,125 + 100 * 3,125 + 20 *3,125 + 5 * 3,125 =9,765,625
@superacademy2474 ай бұрын
Wow! ✅
@ragy1966Ай бұрын
@@superacademy247Agree. This is not useful
@nickwilkins46614 ай бұрын
Totally agree with everyone else. Much quicker and easier to just multiply the numbers out from the word go.
@whyTFdoineedachannelАй бұрын
As others have said, there are several fairly direct calculations of 5^11 that are probably easier. I choose to use 5^11 = 5 * (5^5)^2 = 10 * (3125*3125)/2. The only non trivial steps in this calculation are a single 4 digit x 4 digit long multiplication and a divide by 2.
@superacademy247Ай бұрын
I'm glad you found a simpler way to solve the problem! Thanks for sharing it with everyone. 🚀🙏✅👏
@muwlgr2 ай бұрын
10**11/2**11 would really be faster to obtain using long division. also during the solution it would be useful to remember that 24+26=50 and 24*26=(25-1)*(25+1)=25**2-1
@superacademy2472 ай бұрын
I appreciate you watching! 👍💯Thanks for the feedback! 💕🥰✅Thanks for sharing your solution! 💯🙏🔥
@rpij6884 ай бұрын
5 x 3125 x 3125 - 9 is just as simple as 5 x 3126 x 3124 - 4, without the unnecessary steps of the first 4 minutes.
@magician96Ай бұрын
Then how can you make such videos and earn money. This is also a strategy that Olympiad ques. are tough .
@woodybrison9 күн бұрын
Just go 5^3=125 then x5 = 625. then x5 again and again until you get 5^11, then don't forget to subtract the 9. THE POINT IS, on some important exam like this there is 1st = time, and this is faster; then as any chess player will tell you, 2=thinking is hard work so go with the simple operation
@superacademy2479 күн бұрын
Interesting approach! 💯 Thanks for sharing your perspective! 🙏Indeed, sometimes the simplest methods are the fastest! 🥂💪🔥
@michaellockett4044Ай бұрын
Taking the algebrauc route is beautiful to see. Thank you
@superacademy247Ай бұрын
Thanks for appreciating the algebraic approach! 🔥💪
@David27182818284 ай бұрын
There is no one best way to do this problem. But with no calculator, I chose 100,000,000,00 ÷ 2048 - 9
@muwlgr2 ай бұрын
your power of ten has 10 zeros while it should have 11
@rclrd1Ай бұрын
Instead of long division by 2048, perhaps it simpler to just keep on dividing by 2 (eleven times...)?
@muwlgr18 күн бұрын
@@rclrd1 long division would require fewer steps. but more attention from the human :>
@Penndennis2 ай бұрын
Great lesson is the variety of techniques available in solving these types of problems. Thank you!
@paulzonk1842 ай бұрын
penjelasannya dibuat rumit..padahal sangat mudah, menit 10:48 = 3.16 x 3.124x5 -4 = 48.828.116
@norbertbustke344415 сағат бұрын
what??? A simple multiplication is so much faster than that adventure trip!
@UlricGrim4 ай бұрын
I would just do: 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 48,828,125 3 x 3 = 9 48,828,125 - 9 = 48,828,116 So the answer is 48,828,116. I would of course do this all on paper by hand since no calculators are allowed. There’s no reason whatsoever to make it complicated, it’s as easy as that.
This is one of those contrived special-case problems that gives math instruction a bad name. It isn't even one of those convoluted methods that was developed to do arithmetic in the days before computers -- it's easy enough to multiply out by hand (if anyone remembers how to do that). It's a pointless puzzle problem that has no place in a math curriculum.
@xu0000220 күн бұрын
Genius
@superacademy24720 күн бұрын
Thanks 🙏🙏🙏
@saroj2542070525 күн бұрын
It can be solved one third time by simple multiplication
@l.w.paradis21084 ай бұрын
Wow. When I saw all the bases and exponents were different prime numbers, I didn't see where to start, though of course was looking for x^2 -- y^2 somewhere. This was great.
@superacademy2474 ай бұрын
Thanks for your positive vibe🤩🤩🤩
@neko_asakuraАй бұрын
This problem becomes much easier if you change base: 5^11 - 3^2 (base 10) = 100000000000 - 14 (base 5) = 44444444431 (base 5) Converting the final answer back to base 10 is left as an exercise for the reader.
@andytraiger40794 ай бұрын
Was the intent to solve the question in the hardest way possible? I can devise a harder solution then yours. How about changing the numbers to base 17 before calculating...
@CafeMuyCaliente13 күн бұрын
Calculation in base 5 might be optimal 😁 100000000000-14
@Михаил-ц5ж5м14 сағат бұрын
5^11-3^2=5(5^10-2)+1 5^10=(5^5)^2 25×25=2×30+25=625 5^5=625×5=3125 5^10=(3000+100+25)^2= 9000000+10000+-625+600000+150000+5000)=9765625 5×(5^10-2)+1=9765623×5+1=48828116. Takes a pair of minutes. 5^5 - is easy to calculate in mind 25×25=626 - 625x5=3000+125.
@clivetoothАй бұрын
Using a similar-ish method we can tackle this puzzle: what is 2^5 ? [NO CALCULATORS ALLOWED] 2^5 = (10-8)^5 = 10^5 - 5*10^4*8 + 10*10^3*8^2 - 10*10^2*8^3 + 5*10*8^4 - 8^5 = 100000 - 400000 + 640000 - 512000 + 204800 - 8^5 = 32800 - (2^5)^3 Now (and this is the clever part) setting x = 2^5, we get x = 32800 - x^3. Or x^3 + x - 32800 = 0. So we have reduced our original puzzle to a simple cubic equation!
@kkt11176 күн бұрын
Ad comes exactly that the tricky bit that should have stayed on the screen for a few seconds.
@manochehrteimory9037Ай бұрын
You just complicated the problem more. 😅😅😅
@superacademy247Ай бұрын
I appreciate you sharing your thoughts! 🎉🎁I’m glad you found the video amusing! 💯🙏🤩💕
@바구스-o4n5 күн бұрын
Took me only 3 mins just by multiplying it 😂
@shybaman2000Ай бұрын
If you still have to remember 5^5=3125 and you can only simplify the calculation, then just use a computer to do it.
@X000003704 ай бұрын
Good practice.
@superacademy2474 ай бұрын
😍✅
@gavo82323 ай бұрын
I liked his way. It shows he knows algebra thoroughly. I'm sure Stanford has more difficult variations of the same problem.
@superacademy2473 ай бұрын
I'm glad you found it helpful! 🤩💯Thanks for the feedback! 👍💯
@pamnetwork77874 ай бұрын
Nice information
@superacademy2474 ай бұрын
Thanks 🤩
@elamvaluthis7268Ай бұрын
Stan,this is from sthan Arabic and Sanskrit meaning place country village or town Ford English a place of shallow water wet mud or pond . Stanford meaning a shallow water place where university is built.Thank you.
@superacademy247Ай бұрын
I appreciate you sharing the meaning of Stanford. 🙏🤩🤩🙏😎💕
@elamvaluthis7268Ай бұрын
@superacademy247 Thank you dictionary gives this meaning.
@KenFullman10 күн бұрын
@@superacademy247 But Stanford is a town in Norfolk UK and the "STAN" means "stony" because it also comes from old English. So it's literally a stony river crossing. Why would an old English place name use Arabic? It just doesn't make sense.
@cucofiatpunto87233 ай бұрын
Notice that there is a mistake in calculations. After factoring out 5 and applying the rule of two squares equals sum times difference of squared numbers, you forgot to put it in square brackets. As a consequence you only multiply the first addend of the sum. Please correct me if I am wrong.
@@hamzagezici1731 thank you. 10^3/2^4 is a very useful ratio to avoid long division by 2048. and indeed, 10^11/2^4 = 5^4*10^7 which is then easier to divide by 2^7
@MirhanCissé2 ай бұрын
3125×3125×5-9,i think this is more easier. 😂😂
@sergueisalnikov6283Ай бұрын
125² =(12 x 13) x 100 + 25. Это - считать по-русски))
@Mal1234567Ай бұрын
just scroll to 10:48 in the video to get the answer.
@elder_red_cupКүн бұрын
I used 25 X 4 = 100, I memorised 2^10=1024. It's very convenient! 5^11 - 3^2 = 25^5 x 5 - 9 = (100^5 x 5)/ (4^5) -9 = (100^5 x 5)/ (2^10) -9 = 10000000000 x 5 /1024 -9 = 50000000000/1024 -9 = 48828125-9 = 48828116
@BartBuzz14 күн бұрын
A lot of algebra when a calculator is state of the art.
@richardchiu99753 ай бұрын
too many unnecessary steps. confusing the students.
@文率3 ай бұрын
What's the meaning teaching calculating?
@gopikrishnap4225Ай бұрын
What a waste of time to solve such a simple problem?
@風拂塵峰望晨4 ай бұрын
5x2(3126x1562)-4=10x(3126x1000+3126x562)-4,then 3126x562 can be easier to caculate
@ranfuchs35924 ай бұрын
So, you did not ask for simplification but for a number. As, in any case you did long multiplication, it would have been faster to do a = 625 * 625 * 125 - 9
@Roger-xg3hh3 ай бұрын
Easier is multiply eleven times the number 5 and then subtract 9 😂
@aarqaАй бұрын
If you change the five to a seven in the original problem, people won't complain about your solution being more complicated.
@superacademy247Ай бұрын
I'll do a video in the upcoming upload! Thanks for sharing your suggestion💯🥰✅💪
@victormanuelvertedorgarrid60743 ай бұрын
Imprezionante.
@저녘놀3 ай бұрын
It's not simple. Just calculating 5^11 is much more simple, easier and faster.
@superacademy2473 ай бұрын
It's all about simplifying the expression and finding a clever way to represent it.✅💖😊😍
@michaelstreshinsky66202 ай бұрын
I guess that professors in mathematics from Stanford University, learned at secondary school already in "calculator era". So, they probably do not know about multiplication in column method.
@superacademy2472 ай бұрын
It’s all about logic and problem-solving, not just calculation methods. 👍This problem tests your understanding of concepts, not your calculator skills 😎💯💕🙏
@michaelstreshinsky66202 ай бұрын
@@superacademy247 Excuse me, if multiplication in column works here faster, let say, it is not the best example of the problem. Should be common sense anyway. And, by the way, how did you get 5^5 so quickly?
@superacademy2472 ай бұрын
5^5 I got it quickly through experience because I'm exposed to numbers daily.
@lalasofy25 күн бұрын
3^2=3*3=9
@Mal1234567Ай бұрын
I was hoping for more steps.
@ZainovskyАй бұрын
cARAMBA!!!
@ban-lilyow54483 күн бұрын
Just use multiplication then subtract 9
@Sbmxx-v8r2 ай бұрын
2. 2 5×961. Not equal with 4805
@greathorton2 ай бұрын
Oh I would not consider of Stanford University if calculate by such method 😂
@alejandrojr.albarracin44323 ай бұрын
Its get long job well done the baby is crying 😂
@rameshchandrajoshi41613 ай бұрын
इतने समय में तो साधारण तरीके से भी सरल किया जा सकता है।
@stefpil3 ай бұрын
Just do 3125x3125, one hundred of passages to NOT semplify a multiplication
@佐藤広-c4p3 ай бұрын
Here's what I did: 5¹¹-3²=5³5⁸-3²=5³(5⁸-3²)+5³3²-3²=5³(5⁴+3)(5⁴-3)+5(5²3²)-3²=125(625+3)(625-3)+5(15²)-9 =(1000/8)(628)(622)+5(225)-9=(1000)(628/4)(622/2)+1125-9=(1000)(157)(311)+1116 =(1000)(48827)+1116=48827000+1116=48828116
@superacademy2473 ай бұрын
Awesome 😎💯
@patricivyvincent54684 ай бұрын
😊
@superacademy2474 ай бұрын
🤩
@harrischou2 ай бұрын
Stanford admissions does not test math. Just submit your application.
@superacademy2472 ай бұрын
Thanks for your comment! 🙏💕🥰✅That's an interesting perspective! 😎🥰✅
@DJF19472 ай бұрын
I would like to see some proof that this question, and others like it, were actually posed by reputable bodies. They just don't have the right 'vibe', and look as though they have been invented purely for sites like this one. Academics might well ask, "how would you solve this?". But as soon as one mentioned surds, they would move on to something else and not expect lots of tedious manipulation. Academia ranks insight far above kindergarten arithmetic.
@mediaguardianАй бұрын
"Calculations not allowed." Well, there were calculations in the video. Repeatedly multiplying by 5 is trivial. Then just subtract 9.
@stevenvanravesteyn3647Ай бұрын
Calculators are not allowed
@chileungtamАй бұрын
As 5^{11} -3^2 is not large, why not compute directly 5^{11} - 3^2 = 125^3 x 25 - 9 = 15625 x 25 - 9 = 1562500/4 - 9 = 390625-9 = 390616
As soon as you wrote the word "solution" and then rewrote the actual problem, I stopped watching. I thought this is going to be an incredibly inefficient video. Judging from the comments I wasn't wrong.
@superacademy2476 күн бұрын
Very efficient and effective training LLM models. AI is the way to go 💪💪💪
@rvdboston95682 ай бұрын
Crazy, on his video he says "no calculations allowed", yet all he is doing is calculations 😂
@EconAtheist7 күн бұрын
it says calculators, not calculations, lol
@ngsiukau4 ай бұрын
Just multiply the numbers and subtract, it seems faster than the method here
The explanation categorizes this as an "algebra problem". Wrong, it is purely arithmetic, not algebraic, since there are no variables present.
@leeummaa3 ай бұрын
Amerucan universities do not have enterance exams. Good and challenging problems but not an enterance exam.
@RyanLewis-Johnson-wq6xs4 ай бұрын
It’s in my head
@simonlevett47763 ай бұрын
That's nice to know bro.
@RyanLewis-Johnson-wq6xs4 ай бұрын
3^2=9
@htiek30120Ай бұрын
Why would you do it that way?
@ClearLight3693 күн бұрын
Calculations were not allowed. This was hardly a simplification of your calculations, which were inevitabls despite the stupid prohibition. It would have been much simpler to calculate 5 to the 11th and add 9.
@superacademy2473 күн бұрын
This is very powerful in training AI models to think outside the box. 🔥🔥🔥
@marceliusmartirosianas61042 ай бұрын
16-5= 11
@marceliusmartirosianas61044 ай бұрын
5^11-3^2= 11-2=9
@ahjojooo3 ай бұрын
Let him show you how to make an easy one to complicated
@spdas59422 ай бұрын
Is it really a admition test question ?!😮
@cucofiatpunto87233 ай бұрын
For most of the commentators: this kind of exercise is for testing the imagination, beligerancy and resiliency of the candidate. So, congratulations, most of you would have passed the test. 😄
@superacademy2473 ай бұрын
Well said! Great point!
@everleypang70483 ай бұрын
5^11 is only an 8-digit number, most calculator can do it.
@타초경사2 ай бұрын
( 3125X3125X5 ) -9 = 48,828,116
@chicoseneca7342 ай бұрын
"Ridiculous" is a charitable assessment. "Tortured pointlessness" might be closer to it. What a waste.
I can't see any reason to calculate like this, just calculate 5 by 5, 5^2=25, 5^4=625, 5^5=3125, 5^10 = (3100+25)^2= 3100^2+2*3100*25+25^2=9610000+155000+625=9765625, then multiply by 5 and minus 9. multi-power of 5 should be an easy calculation, the method here is just nonsense.
@msconsult37053 ай бұрын
Boring: 625x625x125-9=
@stof2905Ай бұрын
Too 😂😂😂
@vitalguard26 күн бұрын
3125x15625 - 9, finish
@rd98314 ай бұрын
Is phoning a friend allowed for standird admission test ?
@KeyungLee3 ай бұрын
without calculator 5^11= 10^11/2^11= 5x10^10/2^10=25x10^9/2^9=125x10^8/2^8=625x10^7/2^7=3125x10^6/2^6=15625x10^5/2^5=78125x10^4/2^4 =390625x10^3/2^3=1953125x10^2/2^2=9765625X10/2=97656250/2=48828125 5^11-3^1=48828125-10+1=48828116
@muwlgr2 ай бұрын
you just multiplied all fives sequentially which is not overly optimal unless you know higher powers of 5 by heart