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A Nice Power Division Problem.
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- Опубликовано: 1 фев 2023
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How to find the value of 500⁵⁰⁰/250²⁵⁰ in this power division problem
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Answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
wow!
oh dude
No
@@becalelbecalelew7262 why?
@@NoName-dz8cy your answer hasn't 750 zeros in a number
hello, i know it is to late but u can easily solve it easier with the used of substitution
you can let u = 250
then it will result to ((2u)^(2u))/(u^u) (this looks better if you write it on paper)
and simplifying it would result to (4u)^u and substituting it back will be 1000^250
Good. Thanks 🙏🙏🙏🙏🙏
Thank you too and Welcome 🙏❤️🙏
Good one. Thanks.
You're welcome!
Alternate method :
500^500=(5x10^2)^500 --->>5^500 x 10^1000
250^250=(5^2x10)^250--->>5^500 x 10^250
Put these last values in the question:---
*). 5^500 will get canceled with the 5^500 in the denominater
and
*). In tyhe end you will be left with ------>>>> 10^1000/10^250
Which will become
10^(1000-250) == 10^750
👍
Thank you for another algebra tip and trick.🙂👍
Your are welcome 😊
I really like your videos. Easy pace and very well narrated for everyone to follow.
The writing is very neat and clear. I would love to know what pen and nib size you use!!
I broke my tablet's calculator by trying to solve 10^(750)
1 and 750 zeroes
Nice little number.... it's name?
🙏🙏🙏
Thanks 🙏❤️🙏
10^750
Got bored and decided to make a general rule for (b^b)/(a^a), where a&b are whole numbers and b>a: [b^(b-a)]*[(b/a)^a]
Proof:
[b^(b-a+a)] / [a^a]
[b^(b-a)]*[b^a] / [a^a]
[b^(b-a)] * [b^a]/[a^a]
[b^(b-a)]*[(b/a)^a]
Example using b = 3, and a = 2:
[b^(b-a)]*[(b/a)^a]
[3^(3-2)]*[(3/2)^2]
[3^(1)]*[(9/4)]
[3]*[9/4]
27/4
In this case b = 2*a so you could simplify further.
[(2a)^(2a-a)]*[(2a/a)^a]
[(2a)^(a)]*[(2)^a]
(4a)^a
(4*250)^250
1000^250 = 10^750
A number so large that is it effectively meaningless. However, the process of the question was fun.
2^500•250^500/250^250=
=2^500•250^250= 2^250•2^250•250^250
x=250
(2^x)²•250^x
(2²)^x•250^x
4^x•(5³•2)^x
4^x•5³^x•2^x
2^2x•2^x•5³^x
2^3x•5^3x
10^3x
La respuesta es 10^750.
Thanks 👍👍👍
Why x =250 ? 2^250 * 2^250 * 250^250 = (2*2*250)^250 = 1000^250 = 10^750
У нас училка сразу два ставила за дробную черту ниже знака действия.
1) 500^250 × (500/250)^250 = 1000^250
2) 500^500 / (sqrt(250))^500 = 500^500 / (5sqrt(10))^500 = (10sqrt(10))^500 = 1000^250
= 5000 cosin 500
Ans.: 10^750
1000^(250)
1.0×10^750
*goes to desmos*
Desmos: bro wtf I don't know what 500⁵⁰⁰ is
1000^250 or 10^750.
Well...
500²ⁿ/250ⁿ=1000ⁿ=10³ⁿ...
Wow, t,his guy is a math genius.
1000 power 250
X^2x= 3^x+3
Please solve this eqn
2^500*250^500/250^250=2^500*250^250=2^500*5^500*10^250=10^(500+250)
Thats long way process
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Why did you perform cross product 500x 2 ? When, you really should keep it a dot product
1000 в 250 степени или 10 в 750 степени
using log and you can get the answer without using calculator too
(5^1500×2^1000)/(5^750×2^250)=5^750×2^750=10^750
I think it is 1000 power 250. I make the answer before watch the video
1000^250=10^750
👍👍👍
2^250 *500^250
I got a different answer. The value of 500 ^ 500 / 250 ^ 250 is 2 ^ 500, which is approximately..... 1.6069380442589904 × 10^150.
The proof is as follows. We can simplify this expression by using exponent laws.
First, we can write 500 as 2 × 250, so we have:
500 ^ 500 = (2 × 250) ^ 500
We can use the power of a product rule to expand this expression:
(2 × 250) ^ 500 = 2 ^ 500 × 250 ^ 500
Similarly, we can write 250 as 2 × 125, so we have:
250 ^ 250 = (2 × 125) ^ 250
Using the power of a product rule again, we get:
(2 × 125) ^ 250 = 2 ^ 250 × 125 ^ 250
Now we can substitute these expressions back into the original expression and simplify:
500 ^ 500 / 250 ^ 250 = (2 ^ 500 × 250 ^ 500) / (2 ^ 250 × 125 ^ 250)
We can cancel out the common factor of 2 ^ 250 in the numerator and denominator:
500 ^ 500 / 250 ^ 250 = 2 ^ 250 × (250 / 125) ^ 250
Simplifying 250 / 125 to 2, we get:
500 ^ 500 / 250 ^ 250 = 2 ^ 250 × 2 ^ 250 = 2 ^ 500
Therefore, the value of 500 ^ 500 / 250 ^ 250 is 2 ^ 500, which is approximately 1.6069380442589904 × 10^150.
Not really. While cancelling you also simplified 250^500/125^250 as (250/125)^250, which is not true
@@krzychxyz8358 Thanks for picking up my mistake.
من به دست آوردم 1000²⁵⁰=10⁷⁵⁰
We can choose another way.
500^(500)= 250^500 .2^500.
But 250^500=250^250 .250^250.
The next one is 250^250 .2^500.
But 250^250= 2^250 . 125^250.
But 125^250= (5^3)^250= 5^750.
2^500.2^250=2^750.
2^750.5^750= 10^750
Much simpler :)
Its just 2²⁵⁰
Answer 10^750
Answer 1e750
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Answer: 1.E750
2
not 2
(10^10)^75
So slow....
Перевод нужен
Да тут и перевода не нужно, просто на надписи надо смотреть. Как же хорошо, что язык математики понятен всем 🙂
Не всем ясен язык математики))
C хрена ли, обычные степени
The answer is 2^ 500
Nah bruv its 2²⁵⁰
It's wrong answer
Itš right answer
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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Answer :
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