beautiful power division problem | how to simplify ??

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its a beautiful problem
how to simplify this power division question
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[@mohinkhan2503]

Excellent

[@nalinivijayan5617]

My approach is like this 30^60/60^30 , here we can note that power of 30 is n×2 the power of 60 , so on that case 30^2/60^1 = 900/60 = 15 So if it was 30^60 / 60^30 then it will be eqaul to 15^30 as 30^2 / 60^1 = 15 , also 30^4 / 60^2 = 15^2 hence 30^60/60^30 = 15^30

[@JuPiTeR_0211]

great sir😀

[@ceciliafreitas7856]

15^30

[@mediaguardian]

The answer is 15^30. You can't cancel exponentiation the same way you cancel divisors.

[@astrosamurai7135]

or you could 30th root the whole thing, leaving you with 30^2/60, then simplify 90/60 to 3/2

[@astrosamurai7135]

two steps, much better than the 10 or something shown here.

[@Math_with_aram]

Great solution yes

[@letitburn3327]

You can't do that when it's a simplification problem and not an equation, you could write it as the 30th root of everything to the 30th power so you would get (30^2/60)^30 leaving you with the same solution as the video