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.
@@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.
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
@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 _____ .
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!
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.
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....
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
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!
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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.
I think there is an easier solution approach. This reduces to 15* (16^5), if you group the expression in powers of 16.
Came to say this. The solution give in the video is way to complicated
Why Harvard don't have calculater?
Because any idiot can stick it in a calculator,but not everyone understands the maths behind it.
Because if you can't do it without a calculator, you don't know what you are doing.
The secret is out --> Harvard is merely a safety school.
@@johnshaw6702not necessarily. You can do the simpler ones manually and complex one with calc and still know what you’re doing
@@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.
I stopped at 15 * 16^5. The rest is calculating, not mathematics. 😁
1024x1024 is much faster to calculate than writing (1000+24)^2 and simply multiple with (10+5). Done in 3 min instead 7 min.
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
2^24-2^20= 15*2^20=15*1024*1024
@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
_____ .
I wrote the same thing. Thanks.
Good review of exponent math!
I would use base 4
Very good 😁
Thank you very much 🙏♥️🙏
I think I can do faster 64x64x64x64-16x16x16x16x16 on a piece of paper
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!
Thanks a ton! Hope so!
64^4 =16^4х4^4
16^4х(4^4-16)
65536х240=15728640
Excellent!!!
Many thanks!
Το κάνεις με το επιστημονικό κομπιουτεράκι και το λύνεις σε 5 δευτερόλεπτα
Такой простой задаче посвящать видео ?? 😊
Last you said 15 724 640 😂
😂😂😂
16x16x16x16x16 - 16x16x16x16
=10,48,576 - 65,536
=9,83,040
Warum so kompliziered??????
Hello, int Harvarduniversity You Learn to Build an Atombombe, with Count Atoms Perhaps.
Perhaps Since Corona ist Such Extremes.
Lg Sven Balzer
64⁴-16⁵=(2⁶)⁴-(2⁴)⁵=2²⁴-2²⁰=2²⁰×(2⁴-1)=2²⁰×(16-1)=2²⁰×15
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.
Ну так решаем же именно то, что дано, а не в общем виде, я тоже решила именно так!@@mukhomor9937
4¹²-4¹⁰=4¹⁰(4²-1)
En başta hepsini tek tek çarpsaydı daha hızlı biterdi 🫣
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....
И на хрена такие сложности, если можно тупо посчитать? 16 777 216 - 1 048 576 = 15 728 640
COOL
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
( 16 x 4 ) x (16x 4 ) x ( 16 x 4 ) x ( 16 x 4 ) - ( 16 x 16 x16 x16 x16 ) = ?
16 la puterea 3
And why do we need to learn this when calculators were invented before my birth
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
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!
The correct answer is 2^screw it I’m going to get drunk
jesus, why is it so hard =POWER(64;4)-POWER(16;5)
This is round arround 2^24-2^20 does it all. =2^20(2^4-1) = 15*2^20. That's it
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But the actual answer is - 983 040.
No, this answet ist OK.
Bruh milan engineering school is way harder lol
Zero.
Helllooom
♥️👍♥️
Bro what are you even doing?
That took me two lines and I skipped 7.22 of your video. Did you do it the quick way?
The rest of us need to learn from first principles
❤❤❤❤❤❤❤🇹🇳
512
If this is the Harvard U. Admission exam, then I am seriously worried about US education system
Why?
You make it too complicated with this method
In english, please
This is not a Harvard admission entrance exam. You are a liar. I'm gone for good!
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