Challenge #418: To the Nth Degree and Beyond

[asultanov]

Basic + Bonus

Spoiler

[Fab59000]

Hello

My first challenge

Regards

Fabrice

[ydmuley]

Spoiler

 Enjoyed solving the mathematical challenge!

The Thrill Of Solving Continues …….!

[Erin]

Loved this one! ♥️

My solution to the challenge and Bonus (except found 25 numbers in my Bonus answer vs 17)

Answer:

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Bonus:

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Was the number 1 not supposed to count? I only went as high at the 10th power (vs any number, a girl has limits) so I guess in this formula the number 1 would have infinite solutions as 1x1=1 no matter how many times it's performed.  
Updated to go as high as the 100th power but filtered where Number != 1, and still got the same answers for rows 11-25. I wonder what these other 2 magical numbers are since the post said there should be 17. 

[BSilverblatt]

Thanks for the challenge! Here's my solution:

[Amy_smart]

Here is my solution.

[RWvanLeeuwen]

Here's my take:

Spoiler

[TobiasFitschen]

Spoiler

 

[Zhengyi]

My solution to the basic question.