Can you Pass Stanford University Admission Simplification Problem ?

[@timothybohdan7415]

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.

[@trwent]

Your last sentence is redundant.

[@aisawaloki1571]

Yes, calculating 5^11 by hand is indeed quite easy

[@siuwingyeung1898]

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 =....

[@manishbhoola]

Video is much more "simplified" as per ask

[@alan68681]

Not a good way to solve the problem

[@camel5354]

This video is not about solving the equation, it is teaching us how to make a long form video with simple maths problem 😂

[@superacademy247]

I appreciate your perspective! 🤩Thanks for your feedback! 💯😎

[@camel5354]

@ just kidding ya lol😂

[@The_Esemor]

Z😂

[@ronaldmcyr156]

Takes less time to just multiply out the numbers.

[@frankcoverjr.-jz3ne]

Thank you! I did it in at most 3 minutes.

[@factnfluent6716]

Exactly, I was gonna say that, too

[@jlinky2746]

lol yes

[@michaellockett4044]

It's about the algebra, not the fastest route

[@rogerphelps9939]

Riduculous. Making a meal of an extremely simple problem.

[@dalepeters4927]

Explains why Stanford is down the tubes?

[@bobgreenfield9158]

They are woke and ElGeeBeeTeaWue. ​@@dalepeters4927

[@李清士-x8j]

Indeed

[@tunneloflight]

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

[@superacademy247]

Wow! ✅

[@ragy1966]

​@@superacademy247Agree. This is not useful

[@nickwilkins4661]

Totally agree with everyone else. Much quicker and easier to just multiply the numbers out from the word go.

[@whyTFdoineedachannel]

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.

[@superacademy247]

I'm glad you found a simpler way to solve the problem! Thanks for sharing it with everyone. 🚀🙏✅👏

[@muwlgr]

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

[@superacademy247]

I appreciate you watching! 👍💯Thanks for the feedback! 💕🥰✅Thanks for sharing your solution! 💯🙏🔥

[@rpij688]

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.

[@magician96]

Then how can you make such videos and earn money. This is also a strategy that Olympiad ques. are tough .

[@woodybrison]

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

[@superacademy247]

Interesting approach! 💯 Thanks for sharing your perspective! 🙏Indeed, sometimes the simplest methods are the fastest! 🥂💪🔥

[@michaellockett4044]

Taking the algebrauc route is beautiful to see. Thank you

[@superacademy247]

Thanks for appreciating the algebraic approach! 🔥💪

[@David2718281828]

There is no one best way to do this problem. But with no calculator, I chose 100,000,000,00 ÷ 2048 - 9

[@muwlgr]

your power of ten has 10 zeros while it should have 11

[@rclrd1]

Instead of long division by 2048, perhaps it simpler to just keep on dividing by 2 (eleven times...)?

[@muwlgr]

@@rclrd1 long division would require fewer steps. but more attention from the human :>

[@Penndennis]

Great lesson is the variety of techniques available in solving these types of problems. Thank you!

[@paulzonk184]

penjelasannya dibuat rumit..padahal sangat mudah, menit 10:48 = 3.16 x 3.124x5 -4 = 48.828.116

[@norbertbustke3444]

what??? A simple multiplication is so much faster than that adventure trip!

[@UlricGrim]

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.

[@rabotaakk-nw9nm]

5¹¹=5•5•5•5•5•5•5•5•5•5•5 ??? 😳 5¹¹=(10/2)¹¹=10¹¹/2¹¹= =10¹¹/2/2/2/2/2/2/2/2/2/2/2 😁

[@tedlesher2884]

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.

[@xu00002]

Genius

[@superacademy247]

Thanks 🙏🙏🙏

[@saroj25420705]

It can be solved one third time by simple multiplication

[@l.w.paradis2108]

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.

[@superacademy247]

Thanks for your positive vibe🤩🤩🤩

[@neko_asakura]

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.

[@andytraiger4079]

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...

[@CafeMuyCaliente]

Calculation in base 5 might be optimal 😁 100000000000-14

[@Михаил-ц5ж5м]

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.

[@clivetooth]

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!

[@kkt1117]

Ad comes exactly that the tricky bit that should have stayed on the screen for a few seconds.

[@manochehrteimory9037]

You just complicated the problem more. 😅😅😅

[@superacademy247]

I appreciate you sharing your thoughts! 🎉🎁I’m glad you found the video amusing! 💯🙏🤩💕

[@바구스-o4n]

Took me only 3 mins just by multiplying it 😂

[@shybaman2000]

If you still have to remember 5^5=3125 and you can only simplify the calculation, then just use a computer to do it.

[@X00000370]

Good practice.

[@superacademy247]

😍✅

[@gavo8232]

I liked his way. It shows he knows algebra thoroughly. I'm sure Stanford has more difficult variations of the same problem.

[@superacademy247]

I'm glad you found it helpful! 🤩💯Thanks for the feedback! 👍💯

[@pamnetwork7787]

Nice information

[@superacademy247]

Thanks 🤩

[@elamvaluthis7268]

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.

[@superacademy247]

I appreciate you sharing the meaning of Stanford. 🙏🤩🤩🙏😎💕

[@elamvaluthis7268]

@superacademy247 Thank you dictionary gives this meaning.

[@KenFullman]

@@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.

[@cucofiatpunto8723]

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.

[@walterwen2975]

Stanford University Admission Simplification Problem: 5¹¹ - 3² =? 5¹¹ = (5²)(5³)³ = (25)(5³)(5³)² = (25)(125)(125²) 125² = (10² + 25)² = 10⁴ + 5(10³) + 25² = 10⁴ + 5(10³) + 625 = 10⁴ + 5(10³) + 6(10²) + 25 5[10⁴ + 5(10³) + 6(10²) + 20 + 5] = 5(10⁴) + 25(10³) + 30(10²) + 10² + 25 = 7(10⁴) + 8(10³) + 10² + 25 5[7(10⁴) + 8(10³) + 10² + 25] = 35(10⁴) + 40(10³) + 5(10²) + 10² + 25 = 39(10⁴) + 5(10²) + 10² + 25 = 3(10⁵) + 9(10⁴) + 6(10²) + 25 5[3(10⁵) + 9(10⁴) + 6(10²) + 25] = 15(10⁵) + 45(10⁴) + 30(10²) + 10² + 25 = 10⁶ + 9(10⁵) + 5(10⁴) + 3(10³) + 10² + 25 (125)(125²) = 10⁶ + 9(10⁵) + 5(10⁴) + 3(10³) + 10² + 25 (25)(125)(125²) = (20 + 5)[10⁶ + 9(10⁵) + 5(10⁴) + 3(10³) + 10² + 25] = 20(10⁶) + 180(10⁵) + 100(10⁴) + 60(10³) + 20(10²) + 500 + 5(10⁶) + 45(10⁵) + 25(10⁴) + 15(10³) + 5(10²) + 125 = 25(10⁶) + 225(10⁵) + 125(10⁴) + 75(10³) + 25(10²) + 625 = 25(10⁶) + [22(10⁶) + 5(10⁵)] + [10⁶ + 2(10⁵) + 5(10⁴)] + [7(10⁴) + 5(10³)] + 3125 = 48(10⁶) + 7(10⁵) + 12(10⁴) + 5(10³) + 3(10³) + 10² + 25 = 4(10⁷) + 8(10⁶) + 8(10⁵) + 2(10⁴) + 8(10³) + 10² + 25 = 48828125 5¹¹ - 3² = 48828125 - 9 = 48828116

[@superacademy247]

Great 👌 process. Nice 👍 solution.✅

[@muwlgr]

@@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

[@MirhanCissé]

3125×3125×5-9，i think this is more easier. 😂😂

[@sergueisalnikov6283]

125² =(12 x 13) x 100 + 25. Это - считать по-русски))

[@Mal1234567]

just scroll to 10:48 in the video to get the answer.

[@elder_red_cup]

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

[@BartBuzz]

A lot of algebra when a calculator is state of the art.

[@richardchiu9975]

too many unnecessary steps. confusing the students.

[@文率]

What's the meaning teaching calculating?

[@gopikrishnap4225]

What a waste of time to solve such a simple problem?

[@風拂塵峰望晨]

5x2(3126x1562)-4=10x(3126x1000+3126x562)-4,then 3126x562 can be easier to caculate

[@ranfuchs3592]

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-xg3hh]

Easier is multiply eleven times the number 5 and then subtract 9 😂

[@aarqa]

If you change the five to a seven in the original problem, people won't complain about your solution being more complicated.

[@superacademy247]

I'll do a video in the upcoming upload! Thanks for sharing your suggestion💯🥰✅💪

[@victormanuelvertedorgarrid6074]

Imprezionante.

[@저녘놀]

It's not simple. Just calculating 5^11 is much more simple, easier and faster.

[@superacademy247]

It's all about simplifying the expression and finding a clever way to represent it.✅💖😊😍

[@michaelstreshinsky6620]

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.

[@superacademy247]

It’s all about logic and problem-solving, not just calculation methods. 👍This problem tests your understanding of concepts, not your calculator skills 😎💯💕🙏

[@michaelstreshinsky6620]

@@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?

[@superacademy247]

5^5 I got it quickly through experience because I'm exposed to numbers daily.

[@lalasofy]

3^2=3*3=9

[@Mal1234567]

I was hoping for more steps.

[@Zainovsky]

cARAMBA!!!

[@ban-lilyow5448]

Just use multiplication then subtract 9

[@Sbmxx-v8r]

2. 2 5×961. Not equal with 4805

[@greathorton]

Oh I would not consider of Stanford University if calculate by such method 😂

[@alejandrojr.albarracin4432]

Its get long job well done the baby is crying 😂

[@rameshchandrajoshi4161]

इतने समय में तो साधारण तरीके से भी सरल किया जा सकता है।

[@stefpil]

Just do 3125x3125, one hundred of passages to NOT semplify a multiplication

[@佐藤広-c4p]

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

[@superacademy247]

Awesome 😎💯

[@patricivyvincent5468]

😊

[@superacademy247]

🤩

[@harrischou]

Stanford admissions does not test math. Just submit your application.

[@superacademy247]

Thanks for your comment! 🙏💕🥰✅That's an interesting perspective! 😎🥰✅

[@DJF1947]

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.

[@mediaguardian]

"Calculations not allowed." Well, there were calculations in the video. Repeatedly multiplying by 5 is trivial. Then just subtract 9.

[@stevenvanravesteyn3647]

Calculators are not allowed

[@chileungtam]

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

[@veijolalli326]

125^3=1953125 not 15625

[@frankferguson6358]

Meanwhile Apollo 13 is running out of clean air.

[@cyruschang1904]

5^11 - 3^2 = 25(125^3) - 9 125 x 125 = 12500 + 2500 + 625 = 15625 125^3 = 15625 x 125 = 1562500 + 312500 + 78125 = 1953125 25(125^3) = (125^3)(100)/4 = 195312500/4 = 48828125 5^11 - 3^2 = 48828125 - 9 = 48828116

[@redcattles]

一般人從A點慢慢走到B點要走40天，姑姑因為有輕功，所以只要，38天！

[@MrGrumbleguts]

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.

[@superacademy247]

Very efficient and effective training LLM models. AI is the way to go 💪💪💪

[@rvdboston9568]

Crazy, on his video he says "no calculations allowed", yet all he is doing is calculations 😂

[@EconAtheist]

it says calculators, not calculations, lol

[@ngsiukau]

Just multiply the numbers and subtract, it seems faster than the method here

[@Steven-v6l]

5^11 - 3^2 = 5^5 * 5^6 - 9 5^5 = 5^4 * 5 = 625 * 5 = 3,125 5^6 = 5^5 * 5 = 3125 * 5 = 15,625 3125 * 15,625 - 9 = 48,828,125 - 9 = 48,828,116 ... ok, might need a pencil to do this multiply

[@shoufonglin]

自以為聰明，其實在繞遠路

[@trwent]

The explanation categorizes this as an "algebra problem". Wrong, it is purely arithmetic, not algebraic, since there are no variables present.

[@leeummaa]

Amerucan universities do not have enterance exams. Good and challenging problems but not an enterance exam.

[@RyanLewis-Johnson-wq6xs]

It’s in my head

[@simonlevett4776]

That's nice to know bro.

[@RyanLewis-Johnson-wq6xs]

3^2=9

[@htiek30120]

Why would you do it that way?

[@ClearLight369]

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.

[@superacademy247]

This is very powerful in training AI models to think outside the box. 🔥🔥🔥

[@marceliusmartirosianas6104]

16-5= 11

[@marceliusmartirosianas6104]

5^11-3^2= 11-2=9

[@ahjojooo]

Let him show you how to make an easy one to complicated

[@spdas5942]

Is it really a admition test question ?!😮

[@cucofiatpunto8723]

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. 😄

[@superacademy247]

Well said! Great point!

[@everleypang7048]

5^11 is only an 8-digit number, most calculator can do it.

[@타초경사]

( 3125X3125X5 ) -9 = 48,828,116

[@chicoseneca734]

"Ridiculous" is a charitable assessment. "Tortured pointlessness" might be closer to it. What a waste.

[@pizzakozo1]

5^11 = 10^11 / 2^11 = 100,000,000,000 / 2048 = 48828125 then 48828125 - 9 = 48828116

[@BartBuzz]

I prefer a calculator rather than all the manipulations.

[@ClearLight369]

Why do you keep saying into to mean times? 2 into 3 means 3 divided by 2. It does not mean 2 times 3.

[@superacademy247]

It's a regional problem. I'm not alone

[@federicobelloni6992]

Given that 5=10/2,everything else is trivial

[@FunScience3216]

Pani ch madhani... 😂

[@lalasofy]

5^11=5^2*5.5=25^5.5=625*625*125=390625* 125=Somewhere in488000000

[@jyotisirkiclass8347]

Unusually Very long procedure.

[@thecs7428]

Décomposition en base 10 vow

[@steveodonnell3030]

Chisanbop that jawn

[@ЛюдмилаФасхутдинова-ы6ю]

А не проще просто посчитать

[@aladdintw]

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.

[@msconsult3705]

Boring: 625x625x125-9=

[@stof2905]

Too 😂😂😂

[@vitalguard]

3125x15625 - 9, finish

[@rd9831]

Is phoning a friend allowed for standird admission test ?

[@KeyungLee]

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

[@muwlgr]

you just multiplied all fives sequentially which is not overly optimal unless you know higher powers of 5 by heart