Can you simplify? - A tricky question for maths lovers

What do you think about this question? If you're reading this ❤️. Have a great day!

Hello My Friend ! Welcome to my channel. I really appreciate it!
@higher_mathematics

#maths #math

[PaulineTodd-sn]

You always simplify even tricky ideas.

[JoaoGabriel-nujx]

30^90/90^30 = (3 . 10)^90/(3^2 . 10)^30 = 3^90 . 10^90/3^60 . 10^30

Since we have the same bases in the nominator and the denumerator we can just subtract the exponents, leaving us with:

3^30 . 10^60, wich is the same as 300^30 since

300^30 = (3 . 10^2)^30 = 3^30 . 10^60

[AnitaTyagi-jkwr]

I did it in 2 minutes, of course i am average indian 15 year old😅

[HarrietBarasa]

I am a person who doesn't undermine things more so when especially if it comes to mathematics but this number is doable

[juergenilse]

30^90/90^30=
(3^90*10^90)/(9^30*10^30)=
(3^90/9^30)*(10^90/10^30)=
(3^90/(3^2)^90)*(10^(90-30))=
(3^90/3^(2*30))*10^60=
(3^90/3^60)*10^60=
3^(90-60)*10^60=
3^30*10^60
This is the same value as 300^30, because and
I would prefer 3^30*10^60, even if the expression looks more complicated.

[userqiabHuk-zd]

I think so it was like :
30^90÷90^30
= 30^90 ÷30^90
=1?

[ashwin]

30^90/30^30.3^30=30^60/3^30
=3^60.10^60/3^30=3^30.10^60
=3^30.(10^2)^30=300^30

This is another way of solving..

[Segalmed]

30^90 = 30^(3+30) = (30^30)^3; 90°30 = 3^30 * 30^30; cancel 30^30; Nominator: (30^30)^2 Enumerator 3^30; 30^30 = 30^30 = 3^30 * 10^30; cancel 3^30. What remains is 3^30*10^60; 10^60= 10^30 * 10^30. Combine with 3^30 => 30^30 * 10^30 = 300^30