SOLUTION: Desperate need of help!!! Arrange the following numbers in increasing order: Link: https://latex.artofproblemsolving.com/a/4/4/a44eaf7ca2c0e7e7d0d5f0f87a807fca7c81c744.png

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Question 1154203: Desperate need of help!!!
Arrange the following numbers in increasing order:
Link:
https://latex.artofproblemsolving.com/a/4/4/a44eaf7ca2c0e7e7d0d5f0f87a807fca7c81c744.png
Enter the letters, separated by commas. For example, if you think that $D < A < E < C < B$
Thanks!
Found 3 solutions by mananth, greenestamps, MathLover1:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
In ascending order
C,E,A,B,D

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Simplify most of these using powers of 2; and express each simplified result as a power of 2.

A:

B: 128%5E%281%2F12%29+=+%282%5E7%29%5E%281%2F12%29+=+2%5E%287%2F12%29

C: %281%2F8%5E%281%2F5%29%29%5E2+=+1%2F%282%5E%283%2F5%29%29%5E2+=+2%5E%28-6%2F5%29

D:

E:

Ordering the numbers in increasing powers of 2 orders the numbers themselves in increasing order.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

B=root%2812%2C128%29=2%5E%287%2F12%29




2%5E%28-6%2F5%29%3C1%3C2%5E%281%2F6%29%3C2%5E%287%2F12%29%3C2
C+%3C+E+%3C+A+%3C+B+%3C+D
answer: C ,E , A , B , D