SOLUTION: Which of 1, 2^1/2, 3^1/3, 4^1/4, 5^1/5 is largest?

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Question 337649: Which of 1, 2^1/2, 3^1/3, 4^1/4, 5^1/5 is largest?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Take each number to the 30th power.
1%5E30=1
%282%5E%281%2F2%29%29%5E30=2%5E15
%283%5E%281%2F3%29%29%5E30=3%5E10
%284%5E%281%2F4%29%29%5E30=4%5E%2815%2F2%29=2%5E15
%285%5E%281%2F5%29%29%5E30=5%5E6
.
.
.
27%3E25
3%5E3%3E5%5E2
%283%5E3%29%5E3%3E%285%5E2%29%5E3
3%5E9%3E5%5E6
So then
3%5E10%3E5%5E6
.
.
.
9%3E8
3%2A3%3E2%2A2%2A2
3%5E2%3E2%5E3
%283%5E2%29%5E5%3E%282%5E3%29%5E5
So then
3%5E10%3E2%5E15
.
.
.
32%3E25
2%5E5%3E5%5E2
%282%5E5%29%5E3%3E%285%5E2%29%5E3
So then
2%5E15%3E5%5E6
.
.
.
Finally put it all together.
From largest to smallest.
3%5E10
2%5E15=4%5E%2815%2F2%29
5%5E6
1%5E30
.
.
.
3%5E%281%2F3%29
2%5E%281%2F2%29=4%5E%281%2F4%29
5%5E%281%2F5%29
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