SOLUTION: Can't find any lesson that explains solving equations containing a rational exponent on the variable. Here's my problem: (there are lessons for more in-depth problems, but I need

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Question 288386: Can't find any lesson that explains solving equations containing a rational exponent on the variable.
Here's my problem: (there are lessons for more in-depth problems, but I need to learn the simple stuff before moving on to the more complicated stuff)
(x to the 4/3 power=81)
I used



which made

and then divided by 3, so

Does this look right?
I didn't think I was supposed to have any power left afterwards.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(x to the 4/3 power=81)
I used

**** this is not good
------------------------
is better
Then x = 27
-------------
Also, x = -27
-------------
There are other solutions with complex numbers, but this is proably sufficient for now.
-------------

which made

and then divided by 3, so

Does this look right?

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