# The several powers ( powers of the power ) :

This laws are mine where I invented it from my mind .. so I hope it be correct .
( 1 ) ( n^n )^n^n = n^n^n+1 .. OR : ( a^b )^b^c = a^b^c+1 .. where : ( c+1 ) is the power of ( b ).
( 2 ) ( n^n^n )^n^n = n^n^2n .. OR : ( a^b^c )^b^e = a^b^c+1 .. where : ( c+1 ) is the power of ( b ).
( 3 ) ( n^n^n^n )^n = n^n^d : where : d = ( n^n )+1 .. OR : ( a^b^c^d )^b = a^b^f : where : f = (c^d )+1.
( 4 ) ( n^n^n^n )^n^n = n^n^h : where : h = ( n^n )+n .. OR : ( a^b^c^d )^b^e = a^b^g : where : g = ( c^d )+e .
( 5 ) ( n^n )^n^n^n = n^n^c : where : c = ( n^n )+1 ..
( 6 ) ( n^n^n )^n^n^n = n^n^f : where : f = ( n^n )+n .. OR : ( a^b^c )^b^a^c = a^b^g : g = ( a^c )+c ..
( 7 ) ( n^n^n^n )^n^n^n = n^n^h : where : h = 2( n^n ) ..
( 8 ) ( n^n^n^n )^n^n^n^n = n^n^d : where : d = ( n^n^n ) + ( n^n ) ..
All the last digits are the nature numbers .

Note by Mohamed Aboalamayem
2 years ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

Sort by:

u mean natural numbers, not nature numbers xD

- 1 year, 6 months ago

very hard things .

- 2 months, 1 week ago