You make so complicated..you can take 16^4 out so inside you will get 16 -1 = 15.. 16 ^3 × 16 x15 = 16^3 × 240 = 4096 ×240 = 4096 × (250 -10 ) = 1024000 -40960 = 983040
Por éso mucha gente odia las matemáticas, por profesores que las complican al momento de explicar. Te extendiste demasiado en algo tan fácil. Para calcular esto, necesitamos seguir el orden de operaciones: 16^5 - 16^4 Primero, calculamos los exponentes: 16^5 = 16 × 16 × 16 × 16 × 16 = 1.048.576 16^4 = 16 × 16 × 16 × 16 = 65.536 Ahora, restamos: 1.048.576 - 65.536 = 983.040 La respuesta es 983.040.
Por que o primeiro passo nao foi colocar 16^4 em evidência? Para que levar à base 2? 16*16^4 - 16^4 = 16^4(16 - 1) Será que 👆🏻isto já economizaria algumas linhas desnecessárias?
This seems to be a lie. As a Harvard graduate, I can say that Harvard didn't ask me any math problems for admission other than the standardized tests such as SATs and APs. Maybe, they did 100 years ago.
With the time it took to show the solution, anyone with 6th grade education could have worked it out "long hand", with time to spare. SO if the question was to find an answer, this is a waste. BUT if the purpose is to see if one knows how to manipulate exponents, that's a different thing.
Ces problèmes d’”entrée à Harvard”, qui se résument à quelques ruses calculatoires me paraissent inadaptés pour voir si des gens, qui sont censés avoir un niveau équivalent à celui des classes préparatoires française, sont susceptibles de suivre le cursus sélectif de Harvard.
You're wrong because you neglected to specify the base, so the default is base 10, but there's no digit 'F' in base 10. If you had written 0xF0000 or 0F0000h, then it would be acceptable.
I seriously doubt that one was a question on any university admission test, more so at Harvard, and assuming it was, if any of the students would have solved it the way you did, I think he/she wouldn’t make it any further. You may want to learn again the use of parentheses.
@@georgekrasheninnikov6791 в задании может быть сказано - решить по другому. Ваш (как и мой) способ простейший. Математических способностей и знаний не предусматривает.
I solved the problem in mind without using paper. İt is a very simple problem. You made the solution complicated.
Thank you.
some alternate method:
16^5 - 16^4
= 16^4 * 16 - 16^4
= 16^4 (16-1)
= (2^4)^4*15
= 2^16 * 15
= 983,040
Almost the same method😊
This solution makes much more sense.
UR RIGHT HIS SOLUTION SILLY
日本の中学校卒業レベルならば、この方法をとると思います。難しく考える必要はないです。
You make so complicated..you can take 16^4 out so inside you will get 16 -1 = 15.. 16 ^3 × 16 x15 = 16^3 × 240 = 4096 ×240 = 4096 × (250 -10 ) = 1024000 -40960 = 983040
Let me solve this step by step:
First, let's factor out 16^4 from the expression
16^5 - 16^4 = 16^4(16^1 - 1)
16^4 = 16 × 16 × 16 × 16 = 65,536
16^1 - 1 = 16 - 1 = 15
Therefore:
16^5 - 16^4 = 65,536 × 15 = 983,040
The answer is 983,040
I worked it the same way. Much simpler!!!!
Let 16^4 = p
16p - p = 15p
But, 16^4= p (from above)
Hence, 15 * 16^4 = 😁😁😁😁
The simpel problem that you make complicated
1:52 I think so, there is already good to answer. He is pretty drama.
16^5-16^4=?
16^4x16-16^4=16^4x(16-1)=16^4x15=16x16x16x16x15=983,040
很簡單,何須兜圈子 ?
16 乘4 次不簡單，他最後只用到最簡單加減法
@@alex113327 视频里2的10次方和2的六次方都是背出来的结果，如果靠笔算得出1024的结果也不简单。16的平方256很多人也会背，256x256其实也就半分钟的事。
非常同意，這叫做脫褲子放屁
OMG one of the most simple solution in one row !!!!!!!!!!!!!!!!!!!!!!!!! crezyyyyyyy
What a collosal waste of time.
It's easy. 16^4×(16-1)=983040 Most korean high school students can solve this quiz so easily.
Alternative calculations: assume that one can recall what 16^2 and 25^2 are.
16^5-16^4 = 16^4 * (16-1) = 16^4 * 15
16^4 = (16^2)^2 = 256^2 = (250+6)^2 = 62500 + 2*250*6 + 36 = 62536+3000 = 65536
65536 * 15 = 65536 * 3 * 10 /2 = 1966080/2 = 983040
What is the problem, if we multiply direct term 16 5 times and four times and subtract? The quickest method.😅
Why you are making it so complicated ?
Because he likes to hear his voice.😂
Indian wants to show off
So easy no need to write..I calculated in my mind...
Istnieje bardzo proste rozwiązanie.To jest skomplikowane.
We should encourage the shortest method.
Enough to know 2^x till x=20 and calculations "in column". Every school must to teach this. 😊
I would be so happy if I got this as an entrance exam...
Very nice. Thanks for posting.
My pleasure, Thank 🙏❤️🙏
Easier Solution:
16^5 - 16^4 = x
16 - 1 = x/16^4
15 = x/16^4
x = 15 × 16^4
x = 15 × 65,536
x = 983,040
Devide by 16^4 both sides so we get
16 - 1 = x/16^4
X = 15 * 16^4
Ie 973040
Bravo!... Thanks!....
Thank you too!
16^3(16^2-16^1)
16^3(256-16)
16^3(240)
4096×240=983040?
Thank you… a great video
You are very welcome!🙏❤️🙏
Answer:15×2^(16)😊
Just factor out 16^4 giving 16^4 * 15 = 65536*15 = 983040
or:
=16^4×15
=(2^16/2+2^16)×10
[2^16 -> 16bit = 65536]
=(32768+65536)×10
=98304×10
=983040
I did the same
16×5=80-16×4=64=
80×64=5120×20=1.024,00--32=992,00--(5+4)=983,00+4=983,40
@@marijanatadic6751 983040
983.040
А сразу написать 16'4*15 слабо?
Видимо
No it shows considerable wisdom
Для меня и 1024×64×15 = 983040 намного проще.😂😂😂
Зачем такое нерациональное решение. Выносится 16 в 4-й степени, получаем 16 в 4-й умноженное на 15. Далее 16х16х16х16х15 = 256х256х15 = 983040
Etes vous sur d'etre recu a l'examen d'admisssion a Harvard? Votre pedagogie est calamiteuse!!!!😮😮😮😮
Cheer him up. He is young student 😊
So complicated & lengthy 😊
This can be done in three steps as 16power4(15)=256square. 15
A^n - A^n-1 = A^n-1 * (A-1)
16^5−16^4=？
16^5−16^4
=(16^5−16^4)÷(16^2−16^1)=16^3
式を書き直しました。
У нас в России дети это начинают решать в 7 классе, в теме степени.
Ему бы у нас в школе в России поучиться и он бы такие задачи в уме решал!
16^4(16-1) = (16^2)2×15 = (256)2×15= (250+6)^2×15= (62500+2•250•6+36)×15 = (62500+3000+36)×15= 65536×(10+5) =
655360+327680= 983040.
School students solve this in minutes
Just take a common 16^4(16-1), 16^4x15^1
Por éso mucha gente odia las matemáticas, por profesores que las complican al momento de explicar.
Te extendiste demasiado en algo tan fácil.
Para calcular esto, necesitamos seguir el orden de operaciones:
16^5 - 16^4
Primero, calculamos los exponentes:
16^5 = 16 × 16 × 16 × 16 × 16 = 1.048.576
16^4 = 16 × 16 × 16 × 16 = 65.536
Ahora, restamos:
1.048.576 - 65.536 = 983.040
La respuesta es 983.040.
16^5 − 16^4 = (16 − 1)16^4 = 15.2^16 = 15.2^10.2^6 = 15.1024.64
Students will waste time using this method.
Very easy
Very-very thankful from Russia.
Bu nasıl bir çözüm bunu çözene kadar çoktanarsa giderim 😊
Por que o primeiro passo nao foi colocar 16^4 em evidência? Para que levar à base 2?
16*16^4 - 16^4 = 16^4(16 - 1)
Será que 👆🏻isto já economizaria algumas linhas desnecessárias?
Are you teaching or showing your caliber how a small problem is pulled on ...on...on....on...very bad..
😂
16x16^4_16^4=15x16^4
=2^20-2^16=1024*1024-1024*64=1024*960=answer
1) 16
2) 16 x 16 = *256*
3) 16 x 256 = *4.096*
4) 16 x 4.096 = *65.536*
5) 16 x 65.536 = *1.048.576*
1.048.576 - 65.536 = *983.040*
Quicker way??
入試としてはこれくらいで数学の試験としては充分だよね。それより言葉で説明されたものを論理的に理解してさらに自分の言葉で説明し直すとかできる方が大事。それできないと卒論書けないし。入学はとりあえず数字を扱えれば充分、という姿勢が素晴らしい👍
16^4 = A => 16A - A => 15•16^4 => 15×65536 => 983040
16^4(16-1)=(2^4)^4(15)=2^16(15)
Pusing, hal kecil jadi terlalu panjang lebar, seharusnya ada cara lebih mudah, cek komentar teman2 lainnya, lebih simpel dan mudah dipahami
This seems to be a lie. As a Harvard graduate, I can say that Harvard didn't ask me any math problems for admission other than the standardized tests such as SATs and APs. Maybe, they did 100 years ago.
With the time it took to show the solution, anyone with 6th grade education could have worked it out "long hand", with time to spare. SO if the question was to find an answer, this is a waste. BUT if the purpose is to see if one knows how to manipulate exponents, that's a different thing.
Definitely NOT a Harvard Entrance question, unless they are now taking those who flunked high school maths!
Beautiful
16^5-16^4
=16^4(16-1)
=16^4(15)
=2^16(15)
=2×(2^15)×15
=30(2^15)
Bhai is traha karte rahe to ek question me hi zindagi beet jayegi
2^20-2^16=2^10(2^10-2^6=2^10(2^5^2-2^3^2)=2^10(2^5+2^3)×(2^5-2^3)=2^10×(32+8)×(32-8)=2^10×40×24=1024×960=(10^3+24)×10×(10^2-4)=10^6-4×10^4+24×10^3-24×4×10=1024000-40960=1024040-41000=983040
as I know, Harvard never give easy problem like this
Для чего такая карусель, ведь можно и проще.
16^4(16-1)=
15•2^16
Ces problèmes d’”entrée à Harvard”, qui se résument à quelques ruses calculatoires me paraissent inadaptés pour voir si des gens, qui sont censés avoir un niveau équivalent à celui des classes préparatoires française, sont susceptibles de suivre le cursus sélectif de Harvard.
Why? What was the restriction?
То, что он написал на 15-той строке, можно написать на второй
It's called "Beaurocracy."
謝謝教學，我的數學零分，也能看懂。
16^5 - 16^4 = (16^4)(16 - 1) = (16^4)(15)
Gastou 6 minutos numa questão que pode ser resolvida em 30 segundos, qual a utilidade disso?
Задача решается напрямую за время в 5 раз меньшее чем все эти преобразования)
Да. Я решила за 1 минуту напрямую
Easy process but made complicated.
(16×16×16×16×16)-(16×16×16×16)=983,040
This is very easy way but why you doing complex way I don’t understand?
16^5 - 16^4 = F0000
You're wrong because you neglected to specify the base, so the default is base 10, but there's no digit 'F' in base 10. If you had written 0xF0000 or 0F0000h, then it would be acceptable.
I seriously doubt that one was a question on any university admission test, more so at Harvard, and assuming it was, if any of the students would have solved it the way you did, I think he/she wouldn’t make it any further. You may want to learn again the use of parentheses.
16×16×16×16×16=1048576
16×16×16×16=65536
1048576-65536=983040
Так проще и быстрее. Умножаем в столбик. Вычитаем так же.
Ваш вариант, чистая арифметика. На видео математика.
@ВладимирДевятых-х1е мой путь самый короткий и понятный для этого конкретного примера.
@@georgekrasheninnikov6791 в задании может быть сказано - решить по другому. Ваш (как и мой) способ простейший. Математических способностей и знаний не предусматривает.
Is this is the standard of Harvard University.
Что-то долго он решает. Зачем так сложно?
15.16^4
16^2=256❤❤
16^4(16-1) = 256*256*15= 983040
16^5−16^4=(16^5−16^4)÷(16^2−16^1)=16^3
Neden bu kadar uzun cozuyorzu
Пример для 5-го класса средней школы в СССР.
Very difficult version!
15×16^4=983.040
Зачем одну цифру брать в скобки, а потом переписывать без скобок?
16^4(16-1)=983,040
Type of himalayan task.
My answer was exactly one-third of that answer..
why make it difficult ?
X=?
X=(16^5 -16^4)
X=98040
It's parenthesis not brackets
KISS 💋 is the main computer science paradigm (Keep It Simple Stupid)
😉
Why is it so difficult?
And there is mistake
Lengthy method
16^5-16^4
=16*16^4-16^4
=15*16^4
=15*65536
=983040
16^4 * 15
joer, acabé primero multiplicandolo directamente