Nice Exponential Problem || USA Mathematical Olympiad

Nice Exponential Problem || USA Mathematical Olympiad
#math
#olympiad
#matholympiad
#mathematics
#mathtricks
#matholympiadquestion
#funofmathematics
#exploredmaths
#algebra
#exponential
#olympiadalgebra
#exponentialequation
#education
#equations
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[@stargod3763]

No.

[@SanketAlekar]

How is this solving? It's just another form you expressed it in.

[@mikekots]

You forgot one last step. 5^(4/5)/5 = 5^(4/5-1) = 5^(-1/5) = the beggining C'mon....

[@vaxx2007]

we used to see such explanations and ahead of time thinking it is a valid explanator. but in fact it may be a amateur

[@charlesmrader]

You are not solving. There is no unknown. All you are doing is simplifying or evaluating. There is nothing to be solved.

[@aliawahab723]

Here is the proplem you got no answer There 5 right answers It is actually ⁵√5+0i Which is √5e^π/2i Then You do the calculations √r (e^(x+360n)/5) X is the angle R is the number =0,1,-1,2,-2 Which are all the solutions

[@anton-ke4qz]

We may take ln of this and it would be better may be

[@PeagmaticDreamer1199]

Well, i never post negative comments. But this guys clearly has no clue what he is doing. Or, worse, he is lying that this is an Olympiad problem.

[@ccmplayer87]

Excellent explanation Sir 👍 Nevertheless, in my personal opinion, I would rather use exponential notation than root notation. (1/5)^(1/5) = (1^(1/5)) / (5^(1/5)) = 1 / (5^(1/5)) = (1 / (5^(1/5))) • 1 = (1 / (5^(1/5))) • (1 / 1) = (1 • 1) / ((5^(1/5)) • 1) = (1 • (5^(4/5)) / ((5^(1/5)) • (5^(4/5))) = (5^(4/5)) / (5^((1/5)+(4/5))) = ((5^4)^(1/5)) / (5^(5/5)) = (625^(1/5)) / (5^(1)) = (625^(1/5)) / 5

[@ExploredMaths]

That's too brilliant approach. Thanks for sharing your precious feedback.

[@anton-ke4qz]

@@ExploredMathsbut at the beginning I think it looks more simple then at the end… what the use and how to be sure that we get correct answer?

[@AA-eb2ye]

thats to much

[@ExploredMaths]

We have to explain every step as everyone watching the video may not be Olympian.

[@orti1283]

How is that answer any more useful than the original expression?

[@pablomartinsantamaria8689]

Come on, this is not from a math olympiad. This is garbage.

[@anton-ke4qz]

Can’t understand what the use of this rearrangements?

[@qikaiyang730]

not good!

[@ExploredMaths]

Okay