Harvard University Admission Entrance Exam Tricks.

[@francescobedinijacobini]

This is one of those problems where the powers of 2 up to the 32nd power come handy to know, especially when all computing is based on binary language.

[@MarioCindric]

1024x1024 is much faster to calculate than writing (1000+24)^2 and simply multiple with (10+5). Done in 3 min instead 7 min.

[@tom-kz9pb]

I think there is an easier solution approach. This reduces to 15* (16^5), if you group the expression in powers of 16.

[@miraculixxs]

Came to say this. The solution give in the video is way to complicated

[@kongfung3486]

Good, step by step calculation, no calculator but with much time and patience.

[@learncommunolizer]

I appreciate your feedback! 👍

[@cyrion7819]

I stopped at 15 * 16^5. The rest is calculating, not mathematics. 😁

[@TWJRPGGamming]

2^24-2^20= 15*2^20=15*1024*1024

[@christianfournier6862]

@TWJRPGGamming= True! If one wishes a less laconic statement of the solution, it can be developed as such: 16 = 2^4 ; 64 = 2^6 ; 64^4 = (2^6)^4 = 2^24 ; (16)^5 = (2^4)^5 = 2^20 ; hence : (64)^4 - (16)^5 = 2^24 - 2^20 ............................ = 15 x 2^20 ............................= 15 x (2^10)^2 [Rem.: 2^10 is known as a KiB and equals 1024] ............................ = 15 x 1024^2 thus, either by calculator or by hand: (64)^4 - (16)^5 = 15'728'640 _____ .

[@MarioCindric]

I wrote the same thing. Thanks.

[@QWERTYQWERTY-iv7pi]

Why Harvard don't have calculater?

[@markhirschmann9967]

Because any idiot can stick it in a calculator,but not everyone understands the maths behind it.

[@johnshaw6702]

Because if you can't do it without a calculator, you don't know what you are doing.

[@bagoquarks]

The secret is out --> Harvard is merely a safety school.

[@life_score]

@@johnshaw6702not necessarily. You can do the simpler ones manually and complex one with calc and still know what you’re doing

[@johnshaw6702]

@@life_score Doing it by hand makes it stick. Besides, how do you think they check if the calculator is correct. I write software for a living and math libraries had to do some fancy adjustments to ensure that answers produced were correct. Computers may be good at math, but they didn't always have a chip dedicated to math.

[@johnshaw6702]

That was impressive. You gave me a new way to figure out these types of equtions that I never thought of. It looked like it would be a lot faster than the method I would have used. It has been over 40 years since I took math course and I rarely do math by hand any more. Thanks

[@sapoz]

I think I can do faster 64x64x64x64-16x16x16x16x16 on a piece of paper

[@АнтонПотапов-и5л]

(4×16)^4_16^5=16^2×16^4-16^5=16×16^5-16^5=16^5(16-1)=16^5×15=15 728 640. Меньше преобразований и быстрее решается.

[@boetiemalone]

I would use base 4

[@flyingspirit3549]

Good review of exponent math!

[@supanmandal6284]

16x16x16x16x16 - 16x16x16x16 =10,48,576 - 65,536 =9,83,040

[@SuperMario-zt7fl]

Το κάνεις με το επιστημονικό κομπιουτεράκι και το λύνεις σε 5 δευτερόλεπτα

[@lucien346]

Very good 😁

[@learncommunolizer]

Thank you very much 🙏♥️🙏

[@Sherzant]

64^4 =16^4х4^4 16^4х(4^4-16) 65536х240=15728640

[@gerdschlapp1716]

Excellent!!!

[@learncommunolizer]

Many thanks!

[@texassparky]

Whoa!! Thats well done Sir! I'd have to watch that twice to keep up. I'm sure Boeing's got a great career path for you. Nah wait, Maybe NSA or the CIA....Hmmm, maybe no. Hey, Call Elon!!!Bet he has a spot!

[@learncommunolizer]

Thanks a ton! Hope so!

[@ahmedabbas8371]

Last you said 15 724 640 😂

[@learncommunolizer]

😂😂😂

[@piotrkulinski922]

This is round arround 2^24-2^20 does it all. =2^20(2^4-1) = 15*2^20. That's it

[@abraham1376]

Antes de que termines de hacer este video yo ya lo habia resuelto en la forma tradicional y en la mitad de tiempo que tu tardaste...La distancia entre 2 puntos es la linea recta, no lo olvidemos....

[@walterwen2975]

Harvard University Admission Entrance Exam: 64⁴ - 16⁵ =? 64⁴ - 16⁵ = (4³)⁴ - (4²)⁵ = 4¹² - 4¹⁰ = 4¹⁰(4² - 1) = 4¹⁰(16 - 1) = 15(2²⁰) = 15[(2¹⁰)²] 2¹⁰ = (2⁵)² = 32² = (30 + 2)² = 900 + 120 + 4 = 1024 = 2(512), (2¹⁰)² = 4(512²) 512² = (500 + 12)² = 500² + 2(12)(500) + 12² = 25(10⁴) + 12(10³) + 144 64⁴ - 16⁵ = 15[(2¹⁰)²] = 15[4(512²)] = 60(512²) = 60[25(10⁴) + 12(10³) + 144 = 15(10⁶) + 72(10⁴) + 8640 = 15728640

[@Cihad-u7u]

En başta hepsini tek tek çarpsaydı daha hızlı biterdi 🫣

[@svenbalzer6763]

Hello, int Harvarduniversity You Learn to Build an Atombombe, with Count Atoms Perhaps. Perhaps Since Corona ist Such Extremes. Lg Sven Balzer

[@Na_vi-ff1gz]

Такой простой задаче посвящать видео ?? 😊

[@albertfigueresgiral8373]

64⁴-16⁵=(2⁶)⁴-(2⁴)⁵=2²⁴-2²⁰=2²⁰×(2⁴-1)=2²⁰×(16-1)=2²⁰×15

[@mukhomor9937]

Ну или так. Ну это работает, если можно к одному значению подвести. А если нет? Если вместо 16 стояла бы 13, а вместо 64, скажем, 61? И накрылась ваша лавочка.

[@tatyanasnisarenko1627]

Ну так решаем же именно то, что дано, а не в общем виде, я тоже решила именно так!​@@mukhomor9937

[@rungsrithienwongpetch6476]

( 16 x 4 ) x (16x 4 ) x ( 16 x 4 ) x ( 16 x 4 ) - ( 16 x 16 x16 x16 x16 ) = ?

[@brunoaugier]

Who said the answer have to be in base 10 ? :p 2^24 = 1 0000 0000 0000 0000 0000 0000b (24 zero in base 2) 2^20 = 1 0000 0000 0000 0000 0000b (20 zéro in base 2) sub = 1111 0000 0000 0000 0000 0000b

[@iulianmihai9367]

De ce sa te complici atat?Pui mana pe creion ,calculezi efectiv numerele ,faci scaderea si gata ,ai rezultatul !Asa ,consumi pagini de hartie degeaba!Ati luat-o razna rau de tot!

[@Tigers93349]

COOL

[@ЕленаАйкхофф]

Warum so kompliziered??????

[@rubent455]

(64x64x64x64= 16,777,216) (16x16x16x16x16=1,048,576) 16,777,216 - 1,048,576 = 15,728,640 Of course, I didn't go to Harvard.

[@AissamLmellali]

4¹²-4¹⁰=4¹⁰(4²-1)

[@unompentruoameni-h8d]

16 la puterea 3

[@shambosarkar9357]

And why do we need to learn this when calculators were invented before my birth

[@gsrvtec1]

The correct answer is 2^screw it I’m going to get drunk

[@asensimeonov2823]

jesus, why is it so hard =POWER(64;4)-POWER(16;5)

[@jackieking1522]

That took me two lines and I skipped 7.22 of your video. Did you do it the quick way?

[@oraach]

The rest of us need to learn from first principles

[@JakaMarinsek]

If this is the Harvard U. Admission exam, then I am seriously worried about US education system

[@henrivanbemmel]

Why?

[@Paul49Giloi]

But the actual answer is - 983 040.

[@ЕленаАйкхофф]

No, this answet ist OK.

[@ramesankd1604]

1/4

[@matteoprada5851]

Bruh milan engineering school is way harder lol

[@jansnauwaert1785]

Zero.

[@lecrutiz1052]

Bro what are you even doing?

[@alejandrojr.albarracin4432]

Helllooom

[@learncommunolizer]

♥️👍♥️

[@alibarka6490]

❤❤❤❤❤❤❤🇹🇳

[@justnikscom]

You make it too complicated with this method

[@ЕленаСластина-у6м]

512

[@quantumcat7673]

This is not a Harvard admission entrance exam. You are a liar. I'm gone for good!

[@benitoherrero3895]

In english, please

[@ramesankd1604]

1/4