A Nice Power Division Problem.

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How to find the value of 500⁵⁰⁰/250²⁵⁰ in this power division problem
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[@NoName-dz8cy]

Answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

[@learncommunolizer]

wow!

[@nguyenngoclan7010]

oh dude

[@becalelbecalelew7262]

No

[@NoName-dz8cy]

@@becalelbecalelew7262 why?

[@becalelbecalelew7262]

@@NoName-dz8cy your answer hasn't 750 zeros in a number

[@dwaynelyndongutierrez9016]

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

[@surendrakverma555]

Good. Thanks 🙏🙏🙏🙏🙏

[@learncommunolizer]

Thank you too and Welcome 🙏❤️🙏

[@uthmandeniz]

Good one. Thanks.

[@learncommunolizer]

You're welcome!

[@atharvyadav-us4wn]

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

[@parwididrs2221]

👍

[@keisuke908]

Thank you for another algebra tip and trick.🙂👍

[@learncommunolizer]

Your are welcome 😊

[@michaelrafa100]

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!!

[@kostas.mitropoulos]

I broke my tablet's calculator by trying to solve 10^(750)

[@casusbelli9225]

1 and 750 zeroes

[@THyperon]

Nice little number.... it's name?

[@ngehtwe7709]

🙏🙏🙏

[@learncommunolizer]

Thanks 🙏❤️🙏

[@cliffordabrahamonyedikachi8175]

10^750

[@toddkes5890]

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

[@zacharyfunk278]

A number so large that is it effectively meaningless. However, the process of the question was fun.

[@albertofernandez6861]

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.

[@learncommunolizer]

Thanks 👍👍👍

[@elnurnabiyev6820]

Why x =250 ? 2^250 * 2^250 * 250^250 = (2*2*250)^250 = 1000^250 = 10^750

[@orion33]

У нас училка сразу два ставила за дробную черту ниже знака действия.

[@zxcv225]

1) 500^250 × (500/250)^250 = 1000^250
2) 500^500 / (sqrt(250))^500 = 500^500 / (5sqrt(10))^500 = (10sqrt(10))^500 = 1000^250

[@rekiaouhaji4776]

= 5000 cosin 500

[@Halleluyah83]

Ans.: 10^750

[@mohitagarwal005]

1000^(250)

[@renzoalvarez4255]

1.0×10^750

[@cycrothelargeplanet]

*goes to desmos*
Desmos: bro wtf I don't know what 500⁵⁰⁰ is

[@joso5554]

1000^250 or 10^750.

[@Bruh-bk6yo]

Well...
500²ⁿ/250ⁿ=1000ⁿ=10³ⁿ...

[@Dr.D.Tergent]

Wow, t,his guy is a math genius.

[@kaushikbasu9707]

1000 power 250

[@manjirichepe2152]

X^2x= 3^x+3
Please solve this eqn

[@jshan6493]

2^500*250^500/250^250=2^500*250^250=2^500*5^500*10^250=10^(500+250)

[@abdirahmanh4189]

Thats long way process

[@debbaranyabiswas1102]

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

[@unicutter]

Why did you perform cross product 500x 2 ? When, you really should keep it a dot product

[@user-hi1tt2kw3d]

1000 в 250 степени или 10 в 750 степени

[@wingwing75]

using log and you can get the answer without using calculator too

[@RoderickEtheria]

(5^1500×2^1000)/(5^750×2^250)=5^750×2^750=10^750

[@asd7026]

I think it is 1000 power 250. I make the answer before watch the video

[@TWJRPGGamming]

1000^250=10^750

[@learncommunolizer]

👍👍👍

[@sagarshrestha5800]

2^250 *500^250

[@mikmop]

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.

[@krzychxyz8358]

Not really. While cancelling you also simplified 250^500/125^250 as (250/125)^250, which is not true

[@mikmop]

@@krzychxyz8358 Thanks for picking up my mistake.

[@ArminHeydari-gz3wi]

من به دست آوردم 1000²⁵⁰=10⁷⁵⁰

[@duytruondduc8558]

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

[@benjiebogarts]

Much simpler :)

[@brandnce]

Its just 2²⁵⁰

[@vijayharer2598]

Answer 10^750

[@ruslanzinnatullin2246]

Answer 1e750

[@viharrupareliya9945]

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

[@surojitgorai1465]

Answer: 1.E750

[@user-fh2pj3uu6k]

2

[@learncommunolizer]

not 2

[@user-jn2uy6rt5s]

(10^10)^75

[@sandycheeks6748]

So slow....

[@user-rs6lp1vh2o]

Перевод нужен

[@mrkv2807]

Да тут и перевода не нужно, просто на надписи надо смотреть. Как же хорошо, что язык математики понятен всем 🙂

[@Halleluyah83]

Не всем ясен язык математики))

[@casusbelli9225]

C хрена ли, обычные степени

[@BrunoPessolani]

The answer is 2^ 500

[@brandnce]

Nah bruv its 2²⁵⁰

[@m.ddavid9645]

It's wrong answer

[@casusbelli9225]

Itš right answer

[@vashikaran432]

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[@Aaditya0823]

Answer :
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