Write into a Simplest Radical form | Fun Algebra Problem (9/4)^(9/4) | College Entrance Exam

Can you write this exponential problem with rational exponent into a Simplest Radical form? (9/4)^(9/4)=?

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Write into a Simplest Radical form | Fun Algebra Problem (9/4)^(9/4) | College Entrance Exam

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Write into a Simplest Radical form
Fun Algebra Problem (9/4)^(9/4)

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[Ajay_Vector]

I'm Second! 😊
Thanks sir for your amazing videos.🙏🏻🙏🏻

[SuperYoonHo]

That was very easy but simply awesome! Thanks for all your videos. My family loves it!

[ابوفراس-قد]

You deserve millions of likes Sir for your amazing math questions and its interesting solutions. 👍👍👍🤔🤔🤔

[tricky]

Do you have a definition of "_simplest_ radical form" ?

[tricky]

I like your presentation a lot. You left out almost nothing, only the most obvious of things were unsaid. Really nice. Although it would be good if everyone would always mention, when using a rational that the denominator (here √2) is not zero so it's okay to use it. I think that needs to be drilled into every student's head all the time. Just one mistake, you have x^mn = (x^m)^n but that's only for reals and you didn't mention that as a caveat, in general it's (x^n)^m.

[anatoliy]

Exponential form of this expression likes me more than radical one. But anyway, thank you for your interesting task and explanation for it. I wish you nice weekend and all the best in your life>))

[theLordsboy]

Such thorough explanations help to keep my 73 yo brain percolating. Thanks.

[ratoim]

Spoiled By The Format trope: When you think the problem is finished but realize there's still 90 seconds to go on the progress bar.

[putaprank]

What 9/2 = 4+1/1 ? It is impossible.
Explicaly please

[billcame]

I got as far as 81/16 times the sqrt(3/2). I didn't thing to simplify it further.

[hansschotterradler]

I got 81/16 * sqrt(3/2). I guess I wasn't supposed to stop at that point 😕

[SkinnerRobot]

Try to fill in the missing steps of the following succinct derivation.
(9/4)^(9/4) = (3/2)^(9/2) = (81√3)/(16√2) = (81√6)/32

[johndoe-pbdi]

Ok but why 9/4 is 2.25 so 2.25^2.25 so 5.0625. That’s simplified…

[claudreindl]

How about x^x as the answer, where x=9/4!! LoL.

[mehulpunia]

Given a square ABCD with angle EDC = angle ECD = 15° prove that triangle ABE is an Equilateral triangle.
See the figure in this link: