SOLUTION: Trying to solve this equation for x: 9x^(2/3)-4x^(-4/3)=0 Step by step instructions would be great as I don't understand how to get rid of the powers - I know the answer is +/-

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Question 231101: Trying to solve this equation for x: 9x^(2/3)-4x^(-4/3)=0
Step by step instructions would be great as I don't understand how to get rid of the powers - I know the answer is +/- 2/3
Thank you
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
solve this equation for x:
:
Add 4x^(-4/3) to both sides

:
The reciprocal gets rid of the negative exponent
=
:
Cube both sides; gets rid of the (1/3) exponent
729x^2 =
:
Find the square root of both sides
27x =
;
multiplied both sides by x^2
27x * x^2 = 8
27x^3 = 8
:
Divide both sides by 27
x^3 =
:
Find the cube root of both sides
x = +/-; (Both solutions checked out in the original equation)
;
Did this make sense to you?

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